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Finding the Fourth Proportional to 10,052.44, 15,078.54 and 4,854.68

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Solution

The fourth proportional to 10,052.44, 15,078.54 and 4,854.68 is: 7,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.44 : 15,078.54 = 4,854.68 : x
  2. Step 2: Convert to fraction form
    10,052.44/15,078.54 = 4,854.68/x
  3. Step 3: Cross multiply
    10,052.44x = 15,078.54 × 4,854.68
  4. Step 4: Simplify right side
    10,052.44x = 73,201,486.57
  5. Step 5: Solve for x
    x = 73,201,486.57/10,052.44
  6. Step 6: Final answer
    x = 7,281.96

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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.