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Finding the Fourth Proportional to 11,437.93, 15,784.59 and 8,086.65

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Solution

The fourth proportional to 11,437.93, 15,784.59 and 8,086.65 is: 11,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.93 : 15,784.59 = 8,086.65 : x
  2. Step 2: Convert to fraction form
    11,437.93/15,784.59 = 8,086.65/x
  3. Step 3: Cross multiply
    11,437.93x = 15,784.59 × 8,086.65
  4. Step 4: Simplify right side
    11,437.93x = 127,644,454.72
  5. Step 5: Solve for x
    x = 127,644,454.72/11,437.93
  6. Step 6: Final answer
    x = 11,159.75

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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.