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Finding the Fourth Proportional to 7,468.44, 10,306.53 and 4,111.56

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Solution

The fourth proportional to 7,468.44, 10,306.53 and 4,111.56 is: 5,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.44 : 10,306.53 = 4,111.56 : x
  2. Step 2: Convert to fraction form
    7,468.44/10,306.53 = 4,111.56/x
  3. Step 3: Cross multiply
    7,468.44x = 10,306.53 × 4,111.56
  4. Step 4: Simplify right side
    7,468.44x = 42,375,916.49
  5. Step 5: Solve for x
    x = 42,375,916.49/7,468.44
  6. Step 6: Final answer
    x = 5,674.00

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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.