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Finding the Fourth Proportional to 8,569.61, 11,827.98 and 5,211.72

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Solution

The fourth proportional to 8,569.61, 11,827.98 and 5,211.72 is: 7,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.61 : 11,827.98 = 5,211.72 : x
  2. Step 2: Convert to fraction form
    8,569.61/11,827.98 = 5,211.72/x
  3. Step 3: Cross multiply
    8,569.61x = 11,827.98 × 5,211.72
  4. Step 4: Simplify right side
    8,569.61x = 61,644,110.15
  5. Step 5: Solve for x
    x = 61,644,110.15/8,569.61
  6. Step 6: Final answer
    x = 7,193.34

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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.