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Finding the Fourth Proportional to 7,058.29, 10,586.05 and 2,377.84

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Solution

The fourth proportional to 7,058.29, 10,586.05 and 2,377.84 is: 3,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.29 : 10,586.05 = 2,377.84 : x
  2. Step 2: Convert to fraction form
    7,058.29/10,586.05 = 2,377.84/x
  3. Step 3: Cross multiply
    7,058.29x = 10,586.05 × 2,377.84
  4. Step 4: Simplify right side
    7,058.29x = 25,171,900.72
  5. Step 5: Solve for x
    x = 25,171,900.72/7,058.29
  6. Step 6: Final answer
    x = 3,566.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.