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Finding the Fourth Proportional to 11,518.89, 15,895.65 and 7,042.83

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Solution

The fourth proportional to 11,518.89, 15,895.65 and 7,042.83 is: 9,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.89 : 15,895.65 = 7,042.83 : x
  2. Step 2: Convert to fraction form
    11,518.89/15,895.65 = 7,042.83/x
  3. Step 3: Cross multiply
    11,518.89x = 15,895.65 × 7,042.83
  4. Step 4: Simplify right side
    11,518.89x = 111,950,360.69
  5. Step 5: Solve for x
    x = 111,950,360.69/11,518.89
  6. Step 6: Final answer
    x = 9,718.85

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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.