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Finding the Fourth Proportional to 11,557.66, 15,951.21 and 6,522.33

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Solution

The fourth proportional to 11,557.66, 15,951.21 and 6,522.33 is: 9,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.66 : 15,951.21 = 6,522.33 : x
  2. Step 2: Convert to fraction form
    11,557.66/15,951.21 = 6,522.33/x
  3. Step 3: Cross multiply
    11,557.66x = 15,951.21 × 6,522.33
  4. Step 4: Simplify right side
    11,557.66x = 104,039,055.52
  5. Step 5: Solve for x
    x = 104,039,055.52/11,557.66
  6. Step 6: Final answer
    x = 9,001.74

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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.