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Finding the Fourth Proportional to 8,534.88, 12,802.32 and 2,378.88

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Solution

The fourth proportional to 8,534.88, 12,802.32 and 2,378.88 is: 3,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.88 : 12,802.32 = 2,378.88 : x
  2. Step 2: Convert to fraction form
    8,534.88/12,802.32 = 2,378.88/x
  3. Step 3: Cross multiply
    8,534.88x = 12,802.32 × 2,378.88
  4. Step 4: Simplify right side
    8,534.88x = 30,455,118.99
  5. Step 5: Solve for x
    x = 30,455,118.99/8,534.88
  6. Step 6: Final answer
    x = 3,568.31

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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.