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Finding the Fourth Proportional to 7,158.77, 10,740.89 and 4,042.30

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Solution

The fourth proportional to 7,158.77, 10,740.89 and 4,042.30 is: 6,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.77 : 10,740.89 = 4,042.30 : x
  2. Step 2: Convert to fraction form
    7,158.77/10,740.89 = 4,042.30/x
  3. Step 3: Cross multiply
    7,158.77x = 10,740.89 × 4,042.30
  4. Step 4: Simplify right side
    7,158.77x = 43,417,882.90
  5. Step 5: Solve for x
    x = 43,417,882.90/7,158.77
  6. Step 6: Final answer
    x = 6,064.99

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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.