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Finding the Fourth Proportional to 10,757.52, 14,814.48 and 9,686.16

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Solution

The fourth proportional to 10,757.52, 14,814.48 and 9,686.16 is: 13,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.52 : 14,814.48 = 9,686.16 : x
  2. Step 2: Convert to fraction form
    10,757.52/14,814.48 = 9,686.16/x
  3. Step 3: Cross multiply
    10,757.52x = 14,814.48 × 9,686.16
  4. Step 4: Simplify right side
    10,757.52x = 143,495,423.60
  5. Step 5: Solve for x
    x = 143,495,423.60/10,757.52
  6. Step 6: Final answer
    x = 13,339.08

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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.