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Finding the Fourth Proportional to 10,046.60, 15,064.54 and 3,471.08

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Solution

The fourth proportional to 10,046.60, 15,064.54 and 3,471.08 is: 5,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.60 : 15,064.54 = 3,471.08 : x
  2. Step 2: Convert to fraction form
    10,046.60/15,064.54 = 3,471.08/x
  3. Step 3: Cross multiply
    10,046.60x = 15,064.54 × 3,471.08
  4. Step 4: Simplify right side
    10,046.60x = 52,290,223.50
  5. Step 5: Solve for x
    x = 52,290,223.50/10,046.60
  6. Step 6: Final answer
    x = 5,204.77

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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.