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Finding the Fourth Proportional to 7,258.11, 10,021.93 and 5,142.18

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Solution

The fourth proportional to 7,258.11, 10,021.93 and 5,142.18 is: 7,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.11 : 10,021.93 = 5,142.18 : x
  2. Step 2: Convert to fraction form
    7,258.11/10,021.93 = 5,142.18/x
  3. Step 3: Cross multiply
    7,258.11x = 10,021.93 × 5,142.18
  4. Step 4: Simplify right side
    7,258.11x = 51,534,592.73
  5. Step 5: Solve for x
    x = 51,534,592.73/7,258.11
  6. Step 6: Final answer
    x = 7,100.28

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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.