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Finding the Fourth Proportional to 10,473.91, 15,710.86 and 4,929.86

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Solution

The fourth proportional to 10,473.91, 15,710.86 and 4,929.86 is: 7,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.91 : 15,710.86 = 4,929.86 : x
  2. Step 2: Convert to fraction form
    10,473.91/15,710.86 = 4,929.86/x
  3. Step 3: Cross multiply
    10,473.91x = 15,710.86 × 4,929.86
  4. Step 4: Simplify right side
    10,473.91x = 77,452,385.72
  5. Step 5: Solve for x
    x = 77,452,385.72/10,473.91
  6. Step 6: Final answer
    x = 7,394.79

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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.