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Finding the Fourth Proportional to 10,335.40, 14,242.02 and 7,497.64

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Solution

The fourth proportional to 10,335.40, 14,242.02 and 7,497.64 is: 10,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.40 : 14,242.02 = 7,497.64 : x
  2. Step 2: Convert to fraction form
    10,335.40/14,242.02 = 7,497.64/x
  3. Step 3: Cross multiply
    10,335.40x = 14,242.02 × 7,497.64
  4. Step 4: Simplify right side
    10,335.40x = 106,781,538.83
  5. Step 5: Solve for x
    x = 106,781,538.83/10,335.40
  6. Step 6: Final answer
    x = 10,331.63

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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.