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Finding the Fourth Proportional to 10,064.52, 13,886.16 and 6,082.74

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Solution

The fourth proportional to 10,064.52, 13,886.16 and 6,082.74 is: 8,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.52 : 13,886.16 = 6,082.74 : x
  2. Step 2: Convert to fraction form
    10,064.52/13,886.16 = 6,082.74/x
  3. Step 3: Cross multiply
    10,064.52x = 13,886.16 × 6,082.74
  4. Step 4: Simplify right side
    10,064.52x = 84,465,900.88
  5. Step 5: Solve for x
    x = 84,465,900.88/10,064.52
  6. Step 6: Final answer
    x = 8,392.44

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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.