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Finding the Fourth Proportional to 7,441.84, 10,269.21 and 5,460.76

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Solution

The fourth proportional to 7,441.84, 10,269.21 and 5,460.76 is: 7,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.84 : 10,269.21 = 5,460.76 : x
  2. Step 2: Convert to fraction form
    7,441.84/10,269.21 = 5,460.76/x
  3. Step 3: Cross multiply
    7,441.84x = 10,269.21 × 5,460.76
  4. Step 4: Simplify right side
    7,441.84x = 56,077,691.20
  5. Step 5: Solve for x
    x = 56,077,691.20/7,441.84
  6. Step 6: Final answer
    x = 7,535.46

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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.