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Finding the Fourth Proportional to 8,742.26, 12,064.16 and 4,763.40

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Solution

The fourth proportional to 8,742.26, 12,064.16 and 4,763.40 is: 6,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.26 : 12,064.16 = 4,763.40 : x
  2. Step 2: Convert to fraction form
    8,742.26/12,064.16 = 4,763.40/x
  3. Step 3: Cross multiply
    8,742.26x = 12,064.16 × 4,763.40
  4. Step 4: Simplify right side
    8,742.26x = 57,466,419.74
  5. Step 5: Solve for x
    x = 57,466,419.74/8,742.26
  6. Step 6: Final answer
    x = 6,573.41

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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.