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Finding the Fourth Proportional to 12,766.52, 17,612.03 and 7,458.95

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Solution

The fourth proportional to 12,766.52, 17,612.03 and 7,458.95 is: 10,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.52 : 17,612.03 = 7,458.95 : x
  2. Step 2: Convert to fraction form
    12,766.52/17,612.03 = 7,458.95/x
  3. Step 3: Cross multiply
    12,766.52x = 17,612.03 × 7,458.95
  4. Step 4: Simplify right side
    12,766.52x = 131,367,181.76
  5. Step 5: Solve for x
    x = 131,367,181.76/12,766.52
  6. Step 6: Final answer
    x = 10,289.98

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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.