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Finding the Fourth Proportional to 8,457.58, 12,686.46 and 3,264.76

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Solution

The fourth proportional to 8,457.58, 12,686.46 and 3,264.76 is: 4,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.58 : 12,686.46 = 3,264.76 : x
  2. Step 2: Convert to fraction form
    8,457.58/12,686.46 = 3,264.76/x
  3. Step 3: Cross multiply
    8,457.58x = 12,686.46 × 3,264.76
  4. Step 4: Simplify right side
    8,457.58x = 41,418,247.15
  5. Step 5: Solve for x
    x = 41,418,247.15/8,457.58
  6. Step 6: Final answer
    x = 4,897.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.