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Finding the Fourth Proportional to 8,808.16, 13,184.70 and 5,684

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Solution

The fourth proportional to 8,808.16, 13,184.70 and 5,684 is: 8,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,808.16 : 13,184.70 = 5,684 : x
  2. Step 2: Convert to fraction form
    8,808.16/13,184.70 = 5,684/x
  3. Step 3: Cross multiply
    8,808.16x = 13,184.70 × 5,684
  4. Step 4: Simplify right side
    8,808.16x = 74,941,834.80
  5. Step 5: Solve for x
    x = 74,941,834.80/8,808.16
  6. Step 6: Final answer
    x = 8,508.23

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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.