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Finding the Fourth Proportional to 11,866.64, 16,374.52 and 6,560.72

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Solution

The fourth proportional to 11,866.64, 16,374.52 and 6,560.72 is: 9,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.64 : 16,374.52 = 6,560.72 : x
  2. Step 2: Convert to fraction form
    11,866.64/16,374.52 = 6,560.72/x
  3. Step 3: Cross multiply
    11,866.64x = 16,374.52 × 6,560.72
  4. Step 4: Simplify right side
    11,866.64x = 107,428,640.85
  5. Step 5: Solve for x
    x = 107,428,640.85/11,866.64
  6. Step 6: Final answer
    x = 9,053.00

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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.