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Finding the Fourth Proportional to 5,687.10, 8,506.65 and 5,106.30

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Solution

The fourth proportional to 5,687.10, 8,506.65 and 5,106.30 is: 7,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.10 : 8,506.65 = 5,106.30 : x
  2. Step 2: Convert to fraction form
    5,687.10/8,506.65 = 5,106.30/x
  3. Step 3: Cross multiply
    5,687.10x = 8,506.65 × 5,106.30
  4. Step 4: Simplify right side
    5,687.10x = 43,437,506.90
  5. Step 5: Solve for x
    x = 43,437,506.90/5,687.10
  6. Step 6: Final answer
    x = 7,637.90

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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.