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Finding the Fourth Proportional to 11,557.08, 15,948.50 and 6,520.50

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Solution

The fourth proportional to 11,557.08, 15,948.50 and 6,520.50 is: 8,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.08 : 15,948.50 = 6,520.50 : x
  2. Step 2: Convert to fraction form
    11,557.08/15,948.50 = 6,520.50/x
  3. Step 3: Cross multiply
    11,557.08x = 15,948.50 × 6,520.50
  4. Step 4: Simplify right side
    11,557.08x = 103,992,161.65
  5. Step 5: Solve for x
    x = 103,992,161.65/11,557.08
  6. Step 6: Final answer
    x = 8,998.13

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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.