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Finding the Fourth Proportional to 10,920.76, 15,069.84 and 6,444.24

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Solution

The fourth proportional to 10,920.76, 15,069.84 and 6,444.24 is: 8,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.76 : 15,069.84 = 6,444.24 : x
  2. Step 2: Convert to fraction form
    10,920.76/15,069.84 = 6,444.24/x
  3. Step 3: Cross multiply
    10,920.76x = 15,069.84 × 6,444.24
  4. Step 4: Simplify right side
    10,920.76x = 97,113,665.72
  5. Step 5: Solve for x
    x = 97,113,665.72/10,920.76
  6. Step 6: Final answer
    x = 8,892.57

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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.