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Finding the Fourth Proportional to 10,365.71, 14,304.68 and 5,889.46

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Solution

The fourth proportional to 10,365.71, 14,304.68 and 5,889.46 is: 8,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.71 : 14,304.68 = 5,889.46 : x
  2. Step 2: Convert to fraction form
    10,365.71/14,304.68 = 5,889.46/x
  3. Step 3: Cross multiply
    10,365.71x = 14,304.68 × 5,889.46
  4. Step 4: Simplify right side
    10,365.71x = 84,246,807.81
  5. Step 5: Solve for x
    x = 84,246,807.81/10,365.71
  6. Step 6: Final answer
    x = 8,127.46

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