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Finding the Fourth Proportional to 10,062.25, 13,886.03 and 6,082.65

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Solution

The fourth proportional to 10,062.25, 13,886.03 and 6,082.65 is: 8,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.25 : 13,886.03 = 6,082.65 : x
  2. Step 2: Convert to fraction form
    10,062.25/13,886.03 = 6,082.65/x
  3. Step 3: Cross multiply
    10,062.25x = 13,886.03 × 6,082.65
  4. Step 4: Simplify right side
    10,062.25x = 84,463,875.59
  5. Step 5: Solve for x
    x = 84,463,875.59/10,062.25
  6. Step 6: Final answer
    x = 8,394.14

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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.