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Finding the Fourth Proportional to 10,064.13, 13,890.14 and 5,871.57

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Solution

The fourth proportional to 10,064.13, 13,890.14 and 5,871.57 is: 8,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.13 : 13,890.14 = 5,871.57 : x
  2. Step 2: Convert to fraction form
    10,064.13/13,890.14 = 5,871.57/x
  3. Step 3: Cross multiply
    10,064.13x = 13,890.14 × 5,871.57
  4. Step 4: Simplify right side
    10,064.13x = 81,556,929.32
  5. Step 5: Solve for x
    x = 81,556,929.32/10,064.13
  6. Step 6: Final answer
    x = 8,103.72

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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.