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Finding the Fourth Proportional to 7,652.66, 11,470.10 and 5,148.54

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Solution

The fourth proportional to 7,652.66, 11,470.10 and 5,148.54 is: 7,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.66 : 11,470.10 = 5,148.54 : x
  2. Step 2: Convert to fraction form
    7,652.66/11,470.10 = 5,148.54/x
  3. Step 3: Cross multiply
    7,652.66x = 11,470.10 × 5,148.54
  4. Step 4: Simplify right side
    7,652.66x = 59,054,242.91
  5. Step 5: Solve for x
    x = 59,054,242.91/7,652.66
  6. Step 6: Final answer
    x = 7,716.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.