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Finding the Fourth Proportional to 8,742.56, 12,065.00 and 4,965.89

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Solution

The fourth proportional to 8,742.56, 12,065.00 and 4,965.89 is: 6,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.56 : 12,065.00 = 4,965.89 : x
  2. Step 2: Convert to fraction form
    8,742.56/12,065.00 = 4,965.89/x
  3. Step 3: Cross multiply
    8,742.56x = 12,065.00 × 4,965.89
  4. Step 4: Simplify right side
    8,742.56x = 59,913,377.70
  5. Step 5: Solve for x
    x = 59,913,377.70/8,742.56
  6. Step 6: Final answer
    x = 6,853.07

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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.