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Finding the Fourth Proportional to 10,065.80, 15,084.30 and 7,412.60

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Solution

The fourth proportional to 10,065.80, 15,084.30 and 7,412.60 is: 11,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.80 : 15,084.30 = 7,412.60 : x
  2. Step 2: Convert to fraction form
    10,065.80/15,084.30 = 7,412.60/x
  3. Step 3: Cross multiply
    10,065.80x = 15,084.30 × 7,412.60
  4. Step 4: Simplify right side
    10,065.80x = 111,813,882.18
  5. Step 5: Solve for x
    x = 111,813,882.18/10,065.80
  6. Step 6: Final answer
    x = 11,108.30

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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.