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Finding the Fourth Proportional to 10,651.29, 14,700.57 and 8,128.62

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Solution

The fourth proportional to 10,651.29, 14,700.57 and 8,128.62 is: 11,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.29 : 14,700.57 = 8,128.62 : x
  2. Step 2: Convert to fraction form
    10,651.29/14,700.57 = 8,128.62/x
  3. Step 3: Cross multiply
    10,651.29x = 14,700.57 × 8,128.62
  4. Step 4: Simplify right side
    10,651.29x = 119,495,347.31
  5. Step 5: Solve for x
    x = 119,495,347.31/10,651.29
  6. Step 6: Final answer
    x = 11,218.86

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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.