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Finding the Fourth Proportional to 7,137.18, 10,705.77 and 6,758.10

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Solution

The fourth proportional to 7,137.18, 10,705.77 and 6,758.10 is: 10,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.18 : 10,705.77 = 6,758.10 : x
  2. Step 2: Convert to fraction form
    7,137.18/10,705.77 = 6,758.10/x
  3. Step 3: Cross multiply
    7,137.18x = 10,705.77 × 6,758.10
  4. Step 4: Simplify right side
    7,137.18x = 72,350,664.24
  5. Step 5: Solve for x
    x = 72,350,664.24/7,137.18
  6. Step 6: Final answer
    x = 10,137.15

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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.