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Finding the Fourth Proportional to 8,534.45, 12,809.68 and 5,253.95

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Solution

The fourth proportional to 8,534.45, 12,809.68 and 5,253.95 is: 7,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.45 : 12,809.68 = 5,253.95 : x
  2. Step 2: Convert to fraction form
    8,534.45/12,809.68 = 5,253.95/x
  3. Step 3: Cross multiply
    8,534.45x = 12,809.68 × 5,253.95
  4. Step 4: Simplify right side
    8,534.45x = 67,301,437.13
  5. Step 5: Solve for x
    x = 67,301,437.13/8,534.45
  6. Step 6: Final answer
    x = 7,885.85

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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.