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Finding the Fourth Proportional to 10,078.04, 15,094.98 and 7,147.46

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Solution

The fourth proportional to 10,078.04, 15,094.98 and 7,147.46 is: 10,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.04 : 15,094.98 = 7,147.46 : x
  2. Step 2: Convert to fraction form
    10,078.04/15,094.98 = 7,147.46/x
  3. Step 3: Cross multiply
    10,078.04x = 15,094.98 × 7,147.46
  4. Step 4: Simplify right side
    10,078.04x = 107,890,765.75
  5. Step 5: Solve for x
    x = 107,890,765.75/10,078.04
  6. Step 6: Final answer
    x = 10,705.53

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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.