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Finding the Fourth Proportional to 10,065.39, 13,888.00 and 6,086.42

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Solution

The fourth proportional to 10,065.39, 13,888.00 and 6,086.42 is: 8,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.39 : 13,888.00 = 6,086.42 : x
  2. Step 2: Convert to fraction form
    10,065.39/13,888.00 = 6,086.42/x
  3. Step 3: Cross multiply
    10,065.39x = 13,888.00 × 6,086.42
  4. Step 4: Simplify right side
    10,065.39x = 84,528,191.21
  5. Step 5: Solve for x
    x = 84,528,191.21/10,065.39
  6. Step 6: Final answer
    x = 8,397.91

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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.