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Finding the Fourth Proportional to 7,261.96, 10,029.68 and 4,900

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Solution

The fourth proportional to 7,261.96, 10,029.68 and 4,900 is: 6,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.96 : 10,029.68 = 4,900 : x
  2. Step 2: Convert to fraction form
    7,261.96/10,029.68 = 4,900/x
  3. Step 3: Cross multiply
    7,261.96x = 10,029.68 × 4,900
  4. Step 4: Simplify right side
    7,261.96x = 49,145,432
  5. Step 5: Solve for x
    x = 49,145,432/7,261.96
  6. Step 6: Final answer
    x = 6,767.52

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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.