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Finding the Fourth Proportional to 8,742.47, 12,064.74 and 4,763.58

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Solution

The fourth proportional to 8,742.47, 12,064.74 and 4,763.58 is: 6,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.47 : 12,064.74 = 4,763.58 : x
  2. Step 2: Convert to fraction form
    8,742.47/12,064.74 = 4,763.58/x
  3. Step 3: Cross multiply
    8,742.47x = 12,064.74 × 4,763.58
  4. Step 4: Simplify right side
    8,742.47x = 57,471,354.17
  5. Step 5: Solve for x
    x = 57,471,354.17/8,742.47
  6. Step 6: Final answer
    x = 6,573.81

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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.