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Finding the Fourth Proportional to 8,405.63, 12,597.13 and 4,248.57

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Solution

The fourth proportional to 8,405.63, 12,597.13 and 4,248.57 is: 6,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.63 : 12,597.13 = 4,248.57 : x
  2. Step 2: Convert to fraction form
    8,405.63/12,597.13 = 4,248.57/x
  3. Step 3: Cross multiply
    8,405.63x = 12,597.13 × 4,248.57
  4. Step 4: Simplify right side
    8,405.63x = 53,519,788.60
  5. Step 5: Solve for x
    x = 53,519,788.60/8,405.63
  6. Step 6: Final answer
    x = 6,367.14

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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.