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Finding the Fourth Proportional to 10,440.32, 15,666.72 and 9,783.68

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Solution

The fourth proportional to 10,440.32, 15,666.72 and 9,783.68 is: 14,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.32 : 15,666.72 = 9,783.68 : x
  2. Step 2: Convert to fraction form
    10,440.32/15,666.72 = 9,783.68/x
  3. Step 3: Cross multiply
    10,440.32x = 15,666.72 × 9,783.68
  4. Step 4: Simplify right side
    10,440.32x = 153,278,175.13
  5. Step 5: Solve for x
    x = 153,278,175.13/10,440.32
  6. Step 6: Final answer
    x = 14,681.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.