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Finding the Fourth Proportional to 7,258.10, 10,016.16 and 4,114.28

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Solution

The fourth proportional to 7,258.10, 10,016.16 and 4,114.28 is: 5,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.10 : 10,016.16 = 4,114.28 : x
  2. Step 2: Convert to fraction form
    7,258.10/10,016.16 = 4,114.28/x
  3. Step 3: Cross multiply
    7,258.10x = 10,016.16 × 4,114.28
  4. Step 4: Simplify right side
    7,258.10x = 41,209,286.76
  5. Step 5: Solve for x
    x = 41,209,286.76/7,258.10
  6. Step 6: Final answer
    x = 5,677.70

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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.