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Finding the Fourth Proportional to 6,877.40, 10,316.10 and 3,953.30

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Solution

The fourth proportional to 6,877.40, 10,316.10 and 3,953.30 is: 5,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.40 : 10,316.10 = 3,953.30 : x
  2. Step 2: Convert to fraction form
    6,877.40/10,316.10 = 3,953.30/x
  3. Step 3: Cross multiply
    6,877.40x = 10,316.10 × 3,953.30
  4. Step 4: Simplify right side
    6,877.40x = 40,782,638.13
  5. Step 5: Solve for x
    x = 40,782,638.13/6,877.40
  6. Step 6: Final answer
    x = 5,929.95

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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.