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Finding the Fourth Proportional to 10,513.38, 15,770.06 and 4,276.78

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Solution

The fourth proportional to 10,513.38, 15,770.06 and 4,276.78 is: 6,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.38 : 15,770.06 = 4,276.78 : x
  2. Step 2: Convert to fraction form
    10,513.38/15,770.06 = 4,276.78/x
  3. Step 3: Cross multiply
    10,513.38x = 15,770.06 × 4,276.78
  4. Step 4: Simplify right side
    10,513.38x = 67,445,077.21
  5. Step 5: Solve for x
    x = 67,445,077.21/10,513.38
  6. Step 6: Final answer
    x = 6,415.17

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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.