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Finding the Fourth Proportional to 10,017.30, 13,823.79 and 5,541

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Solution

The fourth proportional to 10,017.30, 13,823.79 and 5,541 is: 7,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.30 : 13,823.79 = 5,541 : x
  2. Step 2: Convert to fraction form
    10,017.30/13,823.79 = 5,541/x
  3. Step 3: Cross multiply
    10,017.30x = 13,823.79 × 5,541
  4. Step 4: Simplify right side
    10,017.30x = 76,597,620.39
  5. Step 5: Solve for x
    x = 76,597,620.39/10,017.30
  6. Step 6: Final answer
    x = 7,646.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.