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Finding the Fourth Proportional to 8,584.29, 12,807.30 and 7,648.65

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Solution

The fourth proportional to 8,584.29, 12,807.30 and 7,648.65 is: 11,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.29 : 12,807.30 = 7,648.65 : x
  2. Step 2: Convert to fraction form
    8,584.29/12,807.30 = 7,648.65/x
  3. Step 3: Cross multiply
    8,584.29x = 12,807.30 × 7,648.65
  4. Step 4: Simplify right side
    8,584.29x = 97,958,555.15
  5. Step 5: Solve for x
    x = 97,958,555.15/8,584.29
  6. Step 6: Final answer
    x = 11,411.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.