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Finding the Fourth Proportional to 10,543.84, 15,816.84 and 4,699.96

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Solution

The fourth proportional to 10,543.84, 15,816.84 and 4,699.96 is: 7,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.84 : 15,816.84 = 4,699.96 : x
  2. Step 2: Convert to fraction form
    10,543.84/15,816.84 = 4,699.96/x
  3. Step 3: Cross multiply
    10,543.84x = 15,816.84 × 4,699.96
  4. Step 4: Simplify right side
    10,543.84x = 74,338,515.33
  5. Step 5: Solve for x
    x = 74,338,515.33/10,543.84
  6. Step 6: Final answer
    x = 7,050.42

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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.