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Finding the Fourth Proportional to 7,258.59, 10,016.55 and 4,114.71

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Solution

The fourth proportional to 7,258.59, 10,016.55 and 4,114.71 is: 5,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.59 : 10,016.55 = 4,114.71 : x
  2. Step 2: Convert to fraction form
    7,258.59/10,016.55 = 4,114.71/x
  3. Step 3: Cross multiply
    7,258.59x = 10,016.55 × 4,114.71
  4. Step 4: Simplify right side
    7,258.59x = 41,215,198.45
  5. Step 5: Solve for x
    x = 41,215,198.45/7,258.59
  6. Step 6: Final answer
    x = 5,678.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.