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Finding the Fourth Proportional to 7,265.76, 10,026.56 and 4,241.46

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Solution

The fourth proportional to 7,265.76, 10,026.56 and 4,241.46 is: 5,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.76 : 10,026.56 = 4,241.46 : x
  2. Step 2: Convert to fraction form
    7,265.76/10,026.56 = 4,241.46/x
  3. Step 3: Cross multiply
    7,265.76x = 10,026.56 × 4,241.46
  4. Step 4: Simplify right side
    7,265.76x = 42,527,253.18
  5. Step 5: Solve for x
    x = 42,527,253.18/7,265.76
  6. Step 6: Final answer
    x = 5,853.10

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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.