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Finding the Fourth Proportional to 10,560.65, 14,560.46 and 6,777.14

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Solution

The fourth proportional to 10,560.65, 14,560.46 and 6,777.14 is: 9,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.65 : 14,560.46 = 6,777.14 : x
  2. Step 2: Convert to fraction form
    10,560.65/14,560.46 = 6,777.14/x
  3. Step 3: Cross multiply
    10,560.65x = 14,560.46 × 6,777.14
  4. Step 4: Simplify right side
    10,560.65x = 98,678,194.61
  5. Step 5: Solve for x
    x = 98,678,194.61/10,560.65
  6. Step 6: Final answer
    x = 9,343.96

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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.