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Finding the Fourth Proportional to 7,314.68, 10,089.42 and 7,061.24

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Solution

The fourth proportional to 7,314.68, 10,089.42 and 7,061.24 is: 9,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.68 : 10,089.42 = 7,061.24 : x
  2. Step 2: Convert to fraction form
    7,314.68/10,089.42 = 7,061.24/x
  3. Step 3: Cross multiply
    7,314.68x = 10,089.42 × 7,061.24
  4. Step 4: Simplify right side
    7,314.68x = 71,243,816.08
  5. Step 5: Solve for x
    x = 71,243,816.08/7,314.68
  6. Step 6: Final answer
    x = 9,739.84

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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.