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Finding the Fourth Proportional to 7,415.31, 10,225.44 and 6,356.76

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Solution

The fourth proportional to 7,415.31, 10,225.44 and 6,356.76 is: 8,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.31 : 10,225.44 = 6,356.76 : x
  2. Step 2: Convert to fraction form
    7,415.31/10,225.44 = 6,356.76/x
  3. Step 3: Cross multiply
    7,415.31x = 10,225.44 × 6,356.76
  4. Step 4: Simplify right side
    7,415.31x = 65,000,667.97
  5. Step 5: Solve for x
    x = 65,000,667.97/7,415.31
  6. Step 6: Final answer
    x = 8,765.74

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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.