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Finding the Fourth Proportional to 11,051.24, 15,241.92 and 7,815.32

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Solution

The fourth proportional to 11,051.24, 15,241.92 and 7,815.32 is: 10,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.24 : 15,241.92 = 7,815.32 : x
  2. Step 2: Convert to fraction form
    11,051.24/15,241.92 = 7,815.32/x
  3. Step 3: Cross multiply
    11,051.24x = 15,241.92 × 7,815.32
  4. Step 4: Simplify right side
    11,051.24x = 119,120,482.21
  5. Step 5: Solve for x
    x = 119,120,482.21/11,051.24
  6. Step 6: Final answer
    x = 10,778.92

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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.