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Finding the Fourth Proportional to 10,365.44, 14,345.42 and 10,116.71

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Solution

The fourth proportional to 10,365.44, 14,345.42 and 10,116.71 is: 14,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.44 : 14,345.42 = 10,116.71 : x
  2. Step 2: Convert to fraction form
    10,365.44/14,345.42 = 10,116.71/x
  3. Step 3: Cross multiply
    10,365.44x = 14,345.42 × 10,116.71
  4. Step 4: Simplify right side
    10,365.44x = 145,128,403.38
  5. Step 5: Solve for x
    x = 145,128,403.38/10,365.44
  6. Step 6: Final answer
    x = 14,001.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.