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Finding the Fourth Proportional to 8,290.62, 11,437.66 and 5,102.95

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Solution

The fourth proportional to 8,290.62, 11,437.66 and 5,102.95 is: 7,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.62 : 11,437.66 = 5,102.95 : x
  2. Step 2: Convert to fraction form
    8,290.62/11,437.66 = 5,102.95/x
  3. Step 3: Cross multiply
    8,290.62x = 11,437.66 × 5,102.95
  4. Step 4: Simplify right side
    8,290.62x = 58,365,807.10
  5. Step 5: Solve for x
    x = 58,365,807.10/8,290.62
  6. Step 6: Final answer
    x = 7,039.98

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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.