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Finding the Fourth Proportional to 7,445.68, 10,274.28 and 4,461.44

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Solution

The fourth proportional to 7,445.68, 10,274.28 and 4,461.44 is: 6,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.68 : 10,274.28 = 4,461.44 : x
  2. Step 2: Convert to fraction form
    7,445.68/10,274.28 = 4,461.44/x
  3. Step 3: Cross multiply
    7,445.68x = 10,274.28 × 4,461.44
  4. Step 4: Simplify right side
    7,445.68x = 45,838,010.08
  5. Step 5: Solve for x
    x = 45,838,010.08/7,445.68
  6. Step 6: Final answer
    x = 6,156.33

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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.