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Finding the Fourth Proportional to 11,402.76, 15,733.20 and 8,577

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Solution

The fourth proportional to 11,402.76, 15,733.20 and 8,577 is: 11,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.76 : 15,733.20 = 8,577 : x
  2. Step 2: Convert to fraction form
    11,402.76/15,733.20 = 8,577/x
  3. Step 3: Cross multiply
    11,402.76x = 15,733.20 × 8,577
  4. Step 4: Simplify right side
    11,402.76x = 134,943,656.40
  5. Step 5: Solve for x
    x = 134,943,656.40/11,402.76
  6. Step 6: Final answer
    x = 11,834.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.