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Finding the Fourth Proportional to 7,572.69, 10,449.63 and 5,584.35

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Solution

The fourth proportional to 7,572.69, 10,449.63 and 5,584.35 is: 7,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.69 : 10,449.63 = 5,584.35 : x
  2. Step 2: Convert to fraction form
    7,572.69/10,449.63 = 5,584.35/x
  3. Step 3: Cross multiply
    7,572.69x = 10,449.63 × 5,584.35
  4. Step 4: Simplify right side
    7,572.69x = 58,354,391.29
  5. Step 5: Solve for x
    x = 58,354,391.29/7,572.69
  6. Step 6: Final answer
    x = 7,705.90

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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.