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Finding the Fourth Proportional to 10,584.24, 14,572.98 and 8,987.52

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Solution

The fourth proportional to 10,584.24, 14,572.98 and 8,987.52 is: 12,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.24 : 14,572.98 = 8,987.52 : x
  2. Step 2: Convert to fraction form
    10,584.24/14,572.98 = 8,987.52/x
  3. Step 3: Cross multiply
    10,584.24x = 14,572.98 × 8,987.52
  4. Step 4: Simplify right side
    10,584.24x = 130,974,949.21
  5. Step 5: Solve for x
    x = 130,974,949.21/10,584.24
  6. Step 6: Final answer
    x = 12,374.53

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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.