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Finding the Fourth Proportional to 7,242.87, 10,858.15 and 6,898.42

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Solution

The fourth proportional to 7,242.87, 10,858.15 and 6,898.42 is: 10,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.87 : 10,858.15 = 6,898.42 : x
  2. Step 2: Convert to fraction form
    7,242.87/10,858.15 = 6,898.42/x
  3. Step 3: Cross multiply
    7,242.87x = 10,858.15 × 6,898.42
  4. Step 4: Simplify right side
    7,242.87x = 74,904,079.12
  5. Step 5: Solve for x
    x = 74,904,079.12/7,242.87
  6. Step 6: Final answer
    x = 10,341.77

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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.