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Finding the Fourth Proportional to 11,590.96, 16,006.88 and 9,902.52

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Solution

The fourth proportional to 11,590.96, 16,006.88 and 9,902.52 is: 13,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.96 : 16,006.88 = 9,902.52 : x
  2. Step 2: Convert to fraction form
    11,590.96/16,006.88 = 9,902.52/x
  3. Step 3: Cross multiply
    11,590.96x = 16,006.88 × 9,902.52
  4. Step 4: Simplify right side
    11,590.96x = 158,508,449.34
  5. Step 5: Solve for x
    x = 158,508,449.34/11,590.96
  6. Step 6: Final answer
    x = 13,675.18

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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.