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Finding the Fourth Proportional to 10,925.82, 15,076.73 and 6,449.76

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Solution

The fourth proportional to 10,925.82, 15,076.73 and 6,449.76 is: 8,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.82 : 15,076.73 = 6,449.76 : x
  2. Step 2: Convert to fraction form
    10,925.82/15,076.73 = 6,449.76/x
  3. Step 3: Cross multiply
    10,925.82x = 15,076.73 × 6,449.76
  4. Step 4: Simplify right side
    10,925.82x = 97,241,306.21
  5. Step 5: Solve for x
    x = 97,241,306.21/10,925.82
  6. Step 6: Final answer
    x = 8,900.14

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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.