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Finding the Fourth Proportional to 10,925.92, 15,077.32 and 6,449.84

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Solution

The fourth proportional to 10,925.92, 15,077.32 and 6,449.84 is: 8,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.92 : 15,077.32 = 6,449.84 : x
  2. Step 2: Convert to fraction form
    10,925.92/15,077.32 = 6,449.84/x
  3. Step 3: Cross multiply
    10,925.92x = 15,077.32 × 6,449.84
  4. Step 4: Simplify right side
    10,925.92x = 97,246,301.63
  5. Step 5: Solve for x
    x = 97,246,301.63/10,925.92
  6. Step 6: Final answer
    x = 8,900.51

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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.