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Finding the Fourth Proportional to 11,526.44, 15,906.78 and 6,490.82

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Solution

The fourth proportional to 11,526.44, 15,906.78 and 6,490.82 is: 8,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.44 : 15,906.78 = 6,490.82 : x
  2. Step 2: Convert to fraction form
    11,526.44/15,906.78 = 6,490.82/x
  3. Step 3: Cross multiply
    11,526.44x = 15,906.78 × 6,490.82
  4. Step 4: Simplify right side
    11,526.44x = 103,248,085.53
  5. Step 5: Solve for x
    x = 103,248,085.53/11,526.44
  6. Step 6: Final answer
    x = 8,957.50

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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.