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Finding the Fourth Proportional to 6,875.80, 10,302.90 and 5,774.20

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Solution

The fourth proportional to 6,875.80, 10,302.90 and 5,774.20 is: 8,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.80 : 10,302.90 = 5,774.20 : x
  2. Step 2: Convert to fraction form
    6,875.80/10,302.90 = 5,774.20/x
  3. Step 3: Cross multiply
    6,875.80x = 10,302.90 × 5,774.20
  4. Step 4: Simplify right side
    6,875.80x = 59,491,005.18
  5. Step 5: Solve for x
    x = 59,491,005.18/6,875.80
  6. Step 6: Final answer
    x = 8,652.23

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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.