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Finding the Fourth Proportional to 7,569.69, 10,443.27 and 5,584.98

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Solution

The fourth proportional to 7,569.69, 10,443.27 and 5,584.98 is: 7,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.69 : 10,443.27 = 5,584.98 : x
  2. Step 2: Convert to fraction form
    7,569.69/10,443.27 = 5,584.98/x
  3. Step 3: Cross multiply
    7,569.69x = 10,443.27 × 5,584.98
  4. Step 4: Simplify right side
    7,569.69x = 58,325,454.08
  5. Step 5: Solve for x
    x = 58,325,454.08/7,569.69
  6. Step 6: Final answer
    x = 7,705.13

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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.