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Finding the Fourth Proportional to 7,434.76, 10,256.10 and 4,449.16

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Solution

The fourth proportional to 7,434.76, 10,256.10 and 4,449.16 is: 6,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.76 : 10,256.10 = 4,449.16 : x
  2. Step 2: Convert to fraction form
    7,434.76/10,256.10 = 4,449.16/x
  3. Step 3: Cross multiply
    7,434.76x = 10,256.10 × 4,449.16
  4. Step 4: Simplify right side
    7,434.76x = 45,631,029.88
  5. Step 5: Solve for x
    x = 45,631,029.88/7,434.76
  6. Step 6: Final answer
    x = 6,137.53

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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.