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Finding the Fourth Proportional to 8,569.16, 12,853.74 and 2,329.18

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Solution

The fourth proportional to 8,569.16, 12,853.74 and 2,329.18 is: 3,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.16 : 12,853.74 = 2,329.18 : x
  2. Step 2: Convert to fraction form
    8,569.16/12,853.74 = 2,329.18/x
  3. Step 3: Cross multiply
    8,569.16x = 12,853.74 × 2,329.18
  4. Step 4: Simplify right side
    8,569.16x = 29,938,674.13
  5. Step 5: Solve for x
    x = 29,938,674.13/8,569.16
  6. Step 6: Final answer
    x = 3,493.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.