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Finding the Fourth Proportional to 11,397.60, 17,096.40 and 6,148.80

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Solution

The fourth proportional to 11,397.60, 17,096.40 and 6,148.80 is: 9,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.60 : 17,096.40 = 6,148.80 : x
  2. Step 2: Convert to fraction form
    11,397.60/17,096.40 = 6,148.80/x
  3. Step 3: Cross multiply
    11,397.60x = 17,096.40 × 6,148.80
  4. Step 4: Simplify right side
    11,397.60x = 105,122,344.32
  5. Step 5: Solve for x
    x = 105,122,344.32/11,397.60
  6. Step 6: Final answer
    x = 9,223.20

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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.