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Finding the Fourth Proportional to 10,665.60, 14,714.56 and 6,887.84

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Solution

The fourth proportional to 10,665.60, 14,714.56 and 6,887.84 is: 9,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.60 : 14,714.56 = 6,887.84 : x
  2. Step 2: Convert to fraction form
    10,665.60/14,714.56 = 6,887.84/x
  3. Step 3: Cross multiply
    10,665.60x = 14,714.56 × 6,887.84
  4. Step 4: Simplify right side
    10,665.60x = 101,351,534.95
  5. Step 5: Solve for x
    x = 101,351,534.95/10,665.60
  6. Step 6: Final answer
    x = 9,502.66

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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.