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Finding the Fourth Proportional to 11,454.75, 15,807.52 and 6,978.49

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Solution

The fourth proportional to 11,454.75, 15,807.52 and 6,978.49 is: 9,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.75 : 15,807.52 = 6,978.49 : x
  2. Step 2: Convert to fraction form
    11,454.75/15,807.52 = 6,978.49/x
  3. Step 3: Cross multiply
    11,454.75x = 15,807.52 × 6,978.49
  4. Step 4: Simplify right side
    11,454.75x = 110,312,677.21
  5. Step 5: Solve for x
    x = 110,312,677.21/11,454.75
  6. Step 6: Final answer
    x = 9,630.30

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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.