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Finding the Fourth Proportional to 8,865, 12,224.61 and 5,840.91

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Solution

The fourth proportional to 8,865, 12,224.61 and 5,840.91 is: 8,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865 : 12,224.61 = 5,840.91 : x
  2. Step 2: Convert to fraction form
    8,865/12,224.61 = 5,840.91/x
  3. Step 3: Cross multiply
    8,865x = 12,224.61 × 5,840.91
  4. Step 4: Simplify right side
    8,865x = 71,402,846.80
  5. Step 5: Solve for x
    x = 71,402,846.80/8,865
  6. Step 6: Final answer
    x = 8,054.47

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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.