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Finding the Fourth Proportional to 5,886.14, 8,116.34 and 5,750.06

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Solution

The fourth proportional to 5,886.14, 8,116.34 and 5,750.06 is: 7,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.14 : 8,116.34 = 5,750.06 : x
  2. Step 2: Convert to fraction form
    5,886.14/8,116.34 = 5,750.06/x
  3. Step 3: Cross multiply
    5,886.14x = 8,116.34 × 5,750.06
  4. Step 4: Simplify right side
    5,886.14x = 46,669,372.65
  5. Step 5: Solve for x
    x = 46,669,372.65/5,886.14
  6. Step 6: Final answer
    x = 7,928.70

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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.