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Finding the Fourth Proportional to 7,148.86, 10,711.10 and 5,065.40

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Solution

The fourth proportional to 7,148.86, 10,711.10 and 5,065.40 is: 7,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.86 : 10,711.10 = 5,065.40 : x
  2. Step 2: Convert to fraction form
    7,148.86/10,711.10 = 5,065.40/x
  3. Step 3: Cross multiply
    7,148.86x = 10,711.10 × 5,065.40
  4. Step 4: Simplify right side
    7,148.86x = 54,256,005.94
  5. Step 5: Solve for x
    x = 54,256,005.94/7,148.86
  6. Step 6: Final answer
    x = 7,589.46

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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.