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Finding the Fourth Proportional to 8,827.70, 12,185.69 and 5,290.22

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Solution

The fourth proportional to 8,827.70, 12,185.69 and 5,290.22 is: 7,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.70 : 12,185.69 = 5,290.22 : x
  2. Step 2: Convert to fraction form
    8,827.70/12,185.69 = 5,290.22/x
  3. Step 3: Cross multiply
    8,827.70x = 12,185.69 × 5,290.22
  4. Step 4: Simplify right side
    8,827.70x = 64,465,011.42
  5. Step 5: Solve for x
    x = 64,465,011.42/8,827.70
  6. Step 6: Final answer
    x = 7,302.59

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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.