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Finding the Fourth Proportional to 7,542.58, 10,407.50 and 4,709.46

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Solution

The fourth proportional to 7,542.58, 10,407.50 and 4,709.46 is: 6,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.58 : 10,407.50 = 4,709.46 : x
  2. Step 2: Convert to fraction form
    7,542.58/10,407.50 = 4,709.46/x
  3. Step 3: Cross multiply
    7,542.58x = 10,407.50 × 4,709.46
  4. Step 4: Simplify right side
    7,542.58x = 49,013,704.95
  5. Step 5: Solve for x
    x = 49,013,704.95/7,542.58
  6. Step 6: Final answer
    x = 6,498.27

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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.