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Finding the Fourth Proportional to 8,508.76, 11,742.24 and 4,782.76

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Solution

The fourth proportional to 8,508.76, 11,742.24 and 4,782.76 is: 6,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.76 : 11,742.24 = 4,782.76 : x
  2. Step 2: Convert to fraction form
    8,508.76/11,742.24 = 4,782.76/x
  3. Step 3: Cross multiply
    8,508.76x = 11,742.24 × 4,782.76
  4. Step 4: Simplify right side
    8,508.76x = 56,160,315.78
  5. Step 5: Solve for x
    x = 56,160,315.78/8,508.76
  6. Step 6: Final answer
    x = 6,600.29

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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.