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Finding the Fourth Proportional to 10,761.60, 14,852.78 and 8,966.24

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Solution

The fourth proportional to 10,761.60, 14,852.78 and 8,966.24 is: 12,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.60 : 14,852.78 = 8,966.24 : x
  2. Step 2: Convert to fraction form
    10,761.60/14,852.78 = 8,966.24/x
  3. Step 3: Cross multiply
    10,761.60x = 14,852.78 × 8,966.24
  4. Step 4: Simplify right side
    10,761.60x = 133,173,590.15
  5. Step 5: Solve for x
    x = 133,173,590.15/10,761.60
  6. Step 6: Final answer
    x = 12,374.89

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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.