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Finding the Fourth Proportional to 6,702.90, 10,049.49 and 4,506.18

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Solution

The fourth proportional to 6,702.90, 10,049.49 and 4,506.18 is: 6,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.90 : 10,049.49 = 4,506.18 : x
  2. Step 2: Convert to fraction form
    6,702.90/10,049.49 = 4,506.18/x
  3. Step 3: Cross multiply
    6,702.90x = 10,049.49 × 4,506.18
  4. Step 4: Simplify right side
    6,702.90x = 45,284,810.85
  5. Step 5: Solve for x
    x = 45,284,810.85/6,702.90
  6. Step 6: Final answer
    x = 6,756.00

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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.