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Finding the Fourth Proportional to 11,374.24, 15,695.98 and 6,338.20

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Solution

The fourth proportional to 11,374.24, 15,695.98 and 6,338.20 is: 8,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.24 : 15,695.98 = 6,338.20 : x
  2. Step 2: Convert to fraction form
    11,374.24/15,695.98 = 6,338.20/x
  3. Step 3: Cross multiply
    11,374.24x = 15,695.98 × 6,338.20
  4. Step 4: Simplify right side
    11,374.24x = 99,484,260.44
  5. Step 5: Solve for x
    x = 99,484,260.44/11,374.24
  6. Step 6: Final answer
    x = 8,746.45

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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.