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Finding the Fourth Proportional to 10,287.40, 15,420.30 and 5,895.40

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Solution

The fourth proportional to 10,287.40, 15,420.30 and 5,895.40 is: 8,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.40 : 15,420.30 = 5,895.40 : x
  2. Step 2: Convert to fraction form
    10,287.40/15,420.30 = 5,895.40/x
  3. Step 3: Cross multiply
    10,287.40x = 15,420.30 × 5,895.40
  4. Step 4: Simplify right side
    10,287.40x = 90,908,836.62
  5. Step 5: Solve for x
    x = 90,908,836.62/10,287.40
  6. Step 6: Final answer
    x = 8,836.91

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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.