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Finding the Fourth Proportional to 7,447.75, 10,275.90 and 4,461.41

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Solution

The fourth proportional to 7,447.75, 10,275.90 and 4,461.41 is: 6,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.75 : 10,275.90 = 4,461.41 : x
  2. Step 2: Convert to fraction form
    7,447.75/10,275.90 = 4,461.41/x
  3. Step 3: Cross multiply
    7,447.75x = 10,275.90 × 4,461.41
  4. Step 4: Simplify right side
    7,447.75x = 45,845,011.98
  5. Step 5: Solve for x
    x = 45,845,011.98/7,447.75
  6. Step 6: Final answer
    x = 6,155.55

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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.