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Finding the Fourth Proportional to 8,412.95, 11,611.61 and 5,580.48

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Solution

The fourth proportional to 8,412.95, 11,611.61 and 5,580.48 is: 7,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.95 : 11,611.61 = 5,580.48 : x
  2. Step 2: Convert to fraction form
    8,412.95/11,611.61 = 5,580.48/x
  3. Step 3: Cross multiply
    8,412.95x = 11,611.61 × 5,580.48
  4. Step 4: Simplify right side
    8,412.95x = 64,798,329.47
  5. Step 5: Solve for x
    x = 64,798,329.47/8,412.95
  6. Step 6: Final answer
    x = 7,702.22

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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.