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Finding the Fourth Proportional to 7,258.14, 10,016.04 and 4,114.32

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Solution

The fourth proportional to 7,258.14, 10,016.04 and 4,114.32 is: 5,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.14 : 10,016.04 = 4,114.32 : x
  2. Step 2: Convert to fraction form
    7,258.14/10,016.04 = 4,114.32/x
  3. Step 3: Cross multiply
    7,258.14x = 10,016.04 × 4,114.32
  4. Step 4: Simplify right side
    7,258.14x = 41,209,193.69
  5. Step 5: Solve for x
    x = 41,209,193.69/7,258.14
  6. Step 6: Final answer
    x = 5,677.65

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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.