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Finding the Fourth Proportional to 10,503.52, 15,751.62 and 3,106

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Solution

The fourth proportional to 10,503.52, 15,751.62 and 3,106 is: 4,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.52 : 15,751.62 = 3,106 : x
  2. Step 2: Convert to fraction form
    10,503.52/15,751.62 = 3,106/x
  3. Step 3: Cross multiply
    10,503.52x = 15,751.62 × 3,106
  4. Step 4: Simplify right side
    10,503.52x = 48,924,531.72
  5. Step 5: Solve for x
    x = 48,924,531.72/10,503.52
  6. Step 6: Final answer
    x = 4,657.92

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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.