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Finding the Fourth Proportional to 6,870.40, 10,315.20 and 4,278.40

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Solution

The fourth proportional to 6,870.40, 10,315.20 and 4,278.40 is: 6,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.40 : 10,315.20 = 4,278.40 : x
  2. Step 2: Convert to fraction form
    6,870.40/10,315.20 = 4,278.40/x
  3. Step 3: Cross multiply
    6,870.40x = 10,315.20 × 4,278.40
  4. Step 4: Simplify right side
    6,870.40x = 44,132,551.68
  5. Step 5: Solve for x
    x = 44,132,551.68/6,870.40
  6. Step 6: Final answer
    x = 6,423.58

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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.