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Finding the Fourth Proportional to 7,257.60, 10,015.47 and 4,113.78

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Solution

The fourth proportional to 7,257.60, 10,015.47 and 4,113.78 is: 5,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.60 : 10,015.47 = 4,113.78 : x
  2. Step 2: Convert to fraction form
    7,257.60/10,015.47 = 4,113.78/x
  3. Step 3: Cross multiply
    7,257.60x = 10,015.47 × 4,113.78
  4. Step 4: Simplify right side
    7,257.60x = 41,201,440.18
  5. Step 5: Solve for x
    x = 41,201,440.18/7,257.60
  6. Step 6: Final answer
    x = 5,677.01

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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.