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Finding the Fourth Proportional to 10,538.80, 15,808.20 and 4,394.80

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Solution

The fourth proportional to 10,538.80, 15,808.20 and 4,394.80 is: 6,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.80 : 15,808.20 = 4,394.80 : x
  2. Step 2: Convert to fraction form
    10,538.80/15,808.20 = 4,394.80/x
  3. Step 3: Cross multiply
    10,538.80x = 15,808.20 × 4,394.80
  4. Step 4: Simplify right side
    10,538.80x = 69,473,877.36
  5. Step 5: Solve for x
    x = 69,473,877.36/10,538.80
  6. Step 6: Final answer
    x = 6,592.20

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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.