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Finding the Fourth Proportional to 6,688.84, 10,029.90 and 2,792.20

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Solution

The fourth proportional to 6,688.84, 10,029.90 and 2,792.20 is: 4,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.84 : 10,029.90 = 2,792.20 : x
  2. Step 2: Convert to fraction form
    6,688.84/10,029.90 = 2,792.20/x
  3. Step 3: Cross multiply
    6,688.84x = 10,029.90 × 2,792.20
  4. Step 4: Simplify right side
    6,688.84x = 28,005,486.78
  5. Step 5: Solve for x
    x = 28,005,486.78/6,688.84
  6. Step 6: Final answer
    x = 4,186.90

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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.