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Finding the Fourth Proportional to 7,257.88, 10,029.05 and 5,838.76

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Solution

The fourth proportional to 7,257.88, 10,029.05 and 5,838.76 is: 8,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.88 : 10,029.05 = 5,838.76 : x
  2. Step 2: Convert to fraction form
    7,257.88/10,029.05 = 5,838.76/x
  3. Step 3: Cross multiply
    7,257.88x = 10,029.05 × 5,838.76
  4. Step 4: Simplify right side
    7,257.88x = 58,557,215.98
  5. Step 5: Solve for x
    x = 58,557,215.98/7,257.88
  6. Step 6: Final answer
    x = 8,068.09

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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.