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Finding the Fourth Proportional to 7,602.64, 10,491.14 and 4,245.76

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Solution

The fourth proportional to 7,602.64, 10,491.14 and 4,245.76 is: 5,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.64 : 10,491.14 = 4,245.76 : x
  2. Step 2: Convert to fraction form
    7,602.64/10,491.14 = 4,245.76/x
  3. Step 3: Cross multiply
    7,602.64x = 10,491.14 × 4,245.76
  4. Step 4: Simplify right side
    7,602.64x = 44,542,862.57
  5. Step 5: Solve for x
    x = 44,542,862.57/7,602.64
  6. Step 6: Final answer
    x = 5,858.87

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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.