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Finding the Fourth Proportional to 10,600.71, 15,904.52 and 5,333

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Solution

The fourth proportional to 10,600.71, 15,904.52 and 5,333 is: 8,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.71 : 15,904.52 = 5,333 : x
  2. Step 2: Convert to fraction form
    10,600.71/15,904.52 = 5,333/x
  3. Step 3: Cross multiply
    10,600.71x = 15,904.52 × 5,333
  4. Step 4: Simplify right side
    10,600.71x = 84,818,778.50
  5. Step 5: Solve for x
    x = 84,818,778.50/10,600.71
  6. Step 6: Final answer
    x = 8,001.24

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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.