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Finding the Fourth Proportional to 12,712.64, 19,074.24 and 6,862.40

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Solution

The fourth proportional to 12,712.64, 19,074.24 and 6,862.40 is: 10,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.64 : 19,074.24 = 6,862.40 : x
  2. Step 2: Convert to fraction form
    12,712.64/19,074.24 = 6,862.40/x
  3. Step 3: Cross multiply
    12,712.64x = 19,074.24 × 6,862.40
  4. Step 4: Simplify right side
    12,712.64x = 130,895,064.58
  5. Step 5: Solve for x
    x = 130,895,064.58/12,712.64
  6. Step 6: Final answer
    x = 10,296.45

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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.