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Finding the Fourth Proportional to 10,064.76, 13,886.52 and 6,291.75

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Solution

The fourth proportional to 10,064.76, 13,886.52 and 6,291.75 is: 8,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.76 : 13,886.52 = 6,291.75 : x
  2. Step 2: Convert to fraction form
    10,064.76/13,886.52 = 6,291.75/x
  3. Step 3: Cross multiply
    10,064.76x = 13,886.52 × 6,291.75
  4. Step 4: Simplify right side
    10,064.76x = 87,370,512.21
  5. Step 5: Solve for x
    x = 87,370,512.21/10,064.76
  6. Step 6: Final answer
    x = 8,680.83

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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.