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Finding the Fourth Proportional to 11,557.48, 15,948.16 and 6,521.24

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Solution

The fourth proportional to 11,557.48, 15,948.16 and 6,521.24 is: 8,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.48 : 15,948.16 = 6,521.24 : x
  2. Step 2: Convert to fraction form
    11,557.48/15,948.16 = 6,521.24/x
  3. Step 3: Cross multiply
    11,557.48x = 15,948.16 × 6,521.24
  4. Step 4: Simplify right side
    11,557.48x = 104,001,778.92
  5. Step 5: Solve for x
    x = 104,001,778.92/11,557.48
  6. Step 6: Final answer
    x = 8,998.66

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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.