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Finding the Fourth Proportional to 10,513.72, 15,770.40 and 4,969.72

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Solution

The fourth proportional to 10,513.72, 15,770.40 and 4,969.72 is: 7,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.72 : 15,770.40 = 4,969.72 : x
  2. Step 2: Convert to fraction form
    10,513.72/15,770.40 = 4,969.72/x
  3. Step 3: Cross multiply
    10,513.72x = 15,770.40 × 4,969.72
  4. Step 4: Simplify right side
    10,513.72x = 78,374,472.29
  5. Step 5: Solve for x
    x = 78,374,472.29/10,513.72
  6. Step 6: Final answer
    x = 7,454.49

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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.