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Finding the Fourth Proportional to 7,140.84, 10,702.62 and 3,676.20

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Solution

The fourth proportional to 7,140.84, 10,702.62 and 3,676.20 is: 5,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.84 : 10,702.62 = 3,676.20 : x
  2. Step 2: Convert to fraction form
    7,140.84/10,702.62 = 3,676.20/x
  3. Step 3: Cross multiply
    7,140.84x = 10,702.62 × 3,676.20
  4. Step 4: Simplify right side
    7,140.84x = 39,344,971.64
  5. Step 5: Solve for x
    x = 39,344,971.64/7,140.84
  6. Step 6: Final answer
    x = 5,509.85

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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.