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Finding the Fourth Proportional to 8,742.57, 12,064.72 and 4,763.68

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Solution

The fourth proportional to 8,742.57, 12,064.72 and 4,763.68 is: 6,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.57 : 12,064.72 = 4,763.68 : x
  2. Step 2: Convert to fraction form
    8,742.57/12,064.72 = 4,763.68/x
  3. Step 3: Cross multiply
    8,742.57x = 12,064.72 × 4,763.68
  4. Step 4: Simplify right side
    8,742.57x = 57,472,465.37
  5. Step 5: Solve for x
    x = 57,472,465.37/8,742.57
  6. Step 6: Final answer
    x = 6,573.86

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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.