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Finding the Fourth Proportional to 12,410.76, 17,129.46 and 7,870.50

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Solution

The fourth proportional to 12,410.76, 17,129.46 and 7,870.50 is: 10,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.76 : 17,129.46 = 7,870.50 : x
  2. Step 2: Convert to fraction form
    12,410.76/17,129.46 = 7,870.50/x
  3. Step 3: Cross multiply
    12,410.76x = 17,129.46 × 7,870.50
  4. Step 4: Simplify right side
    12,410.76x = 134,817,414.93
  5. Step 5: Solve for x
    x = 134,817,414.93/12,410.76
  6. Step 6: Final answer
    x = 10,862.95

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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.