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Finding the Fourth Proportional to 7,053.42, 9,711.50 and 5,989.08

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Solution

The fourth proportional to 7,053.42, 9,711.50 and 5,989.08 is: 8,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.42 : 9,711.50 = 5,989.08 : x
  2. Step 2: Convert to fraction form
    7,053.42/9,711.50 = 5,989.08/x
  3. Step 3: Cross multiply
    7,053.42x = 9,711.50 × 5,989.08
  4. Step 4: Simplify right side
    7,053.42x = 58,162,950.42
  5. Step 5: Solve for x
    x = 58,162,950.42/7,053.42
  6. Step 6: Final answer
    x = 8,246.06

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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.