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Finding the Fourth Proportional to 10,854.72, 14,973.12 and 6,660

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Solution

The fourth proportional to 10,854.72, 14,973.12 and 6,660 is: 9,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.72 : 14,973.12 = 6,660 : x
  2. Step 2: Convert to fraction form
    10,854.72/14,973.12 = 6,660/x
  3. Step 3: Cross multiply
    10,854.72x = 14,973.12 × 6,660
  4. Step 4: Simplify right side
    10,854.72x = 99,720,979.20
  5. Step 5: Solve for x
    x = 99,720,979.20/10,854.72
  6. Step 6: Final answer
    x = 9,186.88

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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.