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Finding the Fourth Proportional to 7,560.54, 10,434.02 and 4,204.10

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Solution

The fourth proportional to 7,560.54, 10,434.02 and 4,204.10 is: 5,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.54 : 10,434.02 = 4,204.10 : x
  2. Step 2: Convert to fraction form
    7,560.54/10,434.02 = 4,204.10/x
  3. Step 3: Cross multiply
    7,560.54x = 10,434.02 × 4,204.10
  4. Step 4: Simplify right side
    7,560.54x = 43,865,668.55
  5. Step 5: Solve for x
    x = 43,865,668.55/7,560.54
  6. Step 6: Final answer
    x = 5,801.92

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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.