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Finding the Fourth Proportional to 7,978.95, 12,028.17 and 7,443.74

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Solution

The fourth proportional to 7,978.95, 12,028.17 and 7,443.74 is: 11,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.95 : 12,028.17 = 7,443.74 : x
  2. Step 2: Convert to fraction form
    7,978.95/12,028.17 = 7,443.74/x
  3. Step 3: Cross multiply
    7,978.95x = 12,028.17 × 7,443.74
  4. Step 4: Simplify right side
    7,978.95x = 89,534,628.14
  5. Step 5: Solve for x
    x = 89,534,628.14/7,978.95
  6. Step 6: Final answer
    x = 11,221.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.