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Finding the Fourth Proportional to 7,636.24, 10,542.18 and 4,652.74

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Solution

The fourth proportional to 7,636.24, 10,542.18 and 4,652.74 is: 6,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.24 : 10,542.18 = 4,652.74 : x
  2. Step 2: Convert to fraction form
    7,636.24/10,542.18 = 4,652.74/x
  3. Step 3: Cross multiply
    7,636.24x = 10,542.18 × 4,652.74
  4. Step 4: Simplify right side
    7,636.24x = 49,050,022.57
  5. Step 5: Solve for x
    x = 49,050,022.57/7,636.24
  6. Step 6: Final answer
    x = 6,423.32

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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.