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Finding the Fourth Proportional to 10,520.80, 15,770.07 and 4,592.49

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Solution

The fourth proportional to 10,520.80, 15,770.07 and 4,592.49 is: 6,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.80 : 15,770.07 = 4,592.49 : x
  2. Step 2: Convert to fraction form
    10,520.80/15,770.07 = 4,592.49/x
  3. Step 3: Cross multiply
    10,520.80x = 15,770.07 × 4,592.49
  4. Step 4: Simplify right side
    10,520.80x = 72,423,888.77
  5. Step 5: Solve for x
    x = 72,423,888.77/10,520.80
  6. Step 6: Final answer
    x = 6,883.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.