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Finding the Fourth Proportional to 7,635.78, 10,537.07 and 4,449.24

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Solution

The fourth proportional to 7,635.78, 10,537.07 and 4,449.24 is: 6,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.78 : 10,537.07 = 4,449.24 : x
  2. Step 2: Convert to fraction form
    7,635.78/10,537.07 = 4,449.24/x
  3. Step 3: Cross multiply
    7,635.78x = 10,537.07 × 4,449.24
  4. Step 4: Simplify right side
    7,635.78x = 46,881,931.08
  5. Step 5: Solve for x
    x = 46,881,931.08/7,635.78
  6. Step 6: Final answer
    x = 6,139.77

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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.