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Finding the Fourth Proportional to 10,397.40, 15,597 and 3,823.80

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Solution

The fourth proportional to 10,397.40, 15,597 and 3,823.80 is: 5,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.40 : 15,597 = 3,823.80 : x
  2. Step 2: Convert to fraction form
    10,397.40/15,597 = 3,823.80/x
  3. Step 3: Cross multiply
    10,397.40x = 15,597 × 3,823.80
  4. Step 4: Simplify right side
    10,397.40x = 59,639,808.60
  5. Step 5: Solve for x
    x = 59,639,808.60/10,397.40
  6. Step 6: Final answer
    x = 5,736.03

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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.