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Finding the Fourth Proportional to 10,503.82, 15,746.76 and 4,657.24

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Solution

The fourth proportional to 10,503.82, 15,746.76 and 4,657.24 is: 6,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.82 : 15,746.76 = 4,657.24 : x
  2. Step 2: Convert to fraction form
    10,503.82/15,746.76 = 4,657.24/x
  3. Step 3: Cross multiply
    10,503.82x = 15,746.76 × 4,657.24
  4. Step 4: Simplify right side
    10,503.82x = 73,336,440.54
  5. Step 5: Solve for x
    x = 73,336,440.54/10,503.82
  6. Step 6: Final answer
    x = 6,981.88

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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.