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Finding the Fourth Proportional to 10,337.15, 15,502.08 and 4,789.46

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Solution

The fourth proportional to 10,337.15, 15,502.08 and 4,789.46 is: 7,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.15 : 15,502.08 = 4,789.46 : x
  2. Step 2: Convert to fraction form
    10,337.15/15,502.08 = 4,789.46/x
  3. Step 3: Cross multiply
    10,337.15x = 15,502.08 × 4,789.46
  4. Step 4: Simplify right side
    10,337.15x = 74,246,648.79
  5. Step 5: Solve for x
    x = 74,246,648.79/10,337.15
  6. Step 6: Final answer
    x = 7,182.50

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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.