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Finding the Fourth Proportional to 10,704.89, 16,061.42 and 7,416.18

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Solution

The fourth proportional to 10,704.89, 16,061.42 and 7,416.18 is: 11,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.89 : 16,061.42 = 7,416.18 : x
  2. Step 2: Convert to fraction form
    10,704.89/16,061.42 = 7,416.18/x
  3. Step 3: Cross multiply
    10,704.89x = 16,061.42 × 7,416.18
  4. Step 4: Simplify right side
    10,704.89x = 119,114,400.32
  5. Step 5: Solve for x
    x = 119,114,400.32/10,704.89
  6. Step 6: Final answer
    x = 11,127.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.