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Finding the Fourth Proportional to 10,967.03, 16,451.91 and 3,569.50

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Solution

The fourth proportional to 10,967.03, 16,451.91 and 3,569.50 is: 5,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.03 : 16,451.91 = 3,569.50 : x
  2. Step 2: Convert to fraction form
    10,967.03/16,451.91 = 3,569.50/x
  3. Step 3: Cross multiply
    10,967.03x = 16,451.91 × 3,569.50
  4. Step 4: Simplify right side
    10,967.03x = 58,725,074.90
  5. Step 5: Solve for x
    x = 58,725,074.90/10,967.03
  6. Step 6: Final answer
    x = 5,354.70

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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.