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Finding the Fourth Proportional to 10,365.60, 14,313.66 and 7,708.38

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Solution

The fourth proportional to 10,365.60, 14,313.66 and 7,708.38 is: 10,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.60 : 14,313.66 = 7,708.38 : x
  2. Step 2: Convert to fraction form
    10,365.60/14,313.66 = 7,708.38/x
  3. Step 3: Cross multiply
    10,365.60x = 14,313.66 × 7,708.38
  4. Step 4: Simplify right side
    10,365.60x = 110,335,130.47
  5. Step 5: Solve for x
    x = 110,335,130.47/10,365.60
  6. Step 6: Final answer
    x = 10,644.36

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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.