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Finding the Fourth Proportional to 7,429.68, 10,252.98 and 4,287.69

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Solution

The fourth proportional to 7,429.68, 10,252.98 and 4,287.69 is: 5,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.68 : 10,252.98 = 4,287.69 : x
  2. Step 2: Convert to fraction form
    7,429.68/10,252.98 = 4,287.69/x
  3. Step 3: Cross multiply
    7,429.68x = 10,252.98 × 4,287.69
  4. Step 4: Simplify right side
    7,429.68x = 43,961,599.82
  5. Step 5: Solve for x
    x = 43,961,599.82/7,429.68
  6. Step 6: Final answer
    x = 5,917.02

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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.