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Finding the Fourth Proportional to 10,170.40, 15,258.48 and 6,014.08

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Solution

The fourth proportional to 10,170.40, 15,258.48 and 6,014.08 is: 9,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.40 : 15,258.48 = 6,014.08 : x
  2. Step 2: Convert to fraction form
    10,170.40/15,258.48 = 6,014.08/x
  3. Step 3: Cross multiply
    10,170.40x = 15,258.48 × 6,014.08
  4. Step 4: Simplify right side
    10,170.40x = 91,765,719.40
  5. Step 5: Solve for x
    x = 91,765,719.40/10,170.40
  6. Step 6: Final answer
    x = 9,022.82

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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.