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Finding the Fourth Proportional to 10,543.44, 15,817.72 and 5,546

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Solution

The fourth proportional to 10,543.44, 15,817.72 and 5,546 is: 8,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.44 : 15,817.72 = 5,546 : x
  2. Step 2: Convert to fraction form
    10,543.44/15,817.72 = 5,546/x
  3. Step 3: Cross multiply
    10,543.44x = 15,817.72 × 5,546
  4. Step 4: Simplify right side
    10,543.44x = 87,725,075.12
  5. Step 5: Solve for x
    x = 87,725,075.12/10,543.44
  6. Step 6: Final answer
    x = 8,320.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.