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Finding the Fourth Proportional to 7,258.76, 10,016.52 and 4,114.16

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Solution

The fourth proportional to 7,258.76, 10,016.52 and 4,114.16 is: 5,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.76 : 10,016.52 = 4,114.16 : x
  2. Step 2: Convert to fraction form
    7,258.76/10,016.52 = 4,114.16/x
  3. Step 3: Cross multiply
    7,258.76x = 10,016.52 × 4,114.16
  4. Step 4: Simplify right side
    7,258.76x = 41,209,565.92
  5. Step 5: Solve for x
    x = 41,209,565.92/7,258.76
  6. Step 6: Final answer
    x = 5,677.22

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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.