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Finding the Fourth Proportional to 10,563, 15,841.98 and 3,543.26

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Solution

The fourth proportional to 10,563, 15,841.98 and 3,543.26 is: 5,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563 : 15,841.98 = 3,543.26 : x
  2. Step 2: Convert to fraction form
    10,563/15,841.98 = 3,543.26/x
  3. Step 3: Cross multiply
    10,563x = 15,841.98 × 3,543.26
  4. Step 4: Simplify right side
    10,563x = 56,132,254.05
  5. Step 5: Solve for x
    x = 56,132,254.05/10,563
  6. Step 6: Final answer
    x = 5,314.04

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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.