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Finding the Fourth Proportional to 7,947.04, 10,980.10 and 6,281.22

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Solution

The fourth proportional to 7,947.04, 10,980.10 and 6,281.22 is: 8,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.04 : 10,980.10 = 6,281.22 : x
  2. Step 2: Convert to fraction form
    7,947.04/10,980.10 = 6,281.22/x
  3. Step 3: Cross multiply
    7,947.04x = 10,980.10 × 6,281.22
  4. Step 4: Simplify right side
    7,947.04x = 68,968,423.72
  5. Step 5: Solve for x
    x = 68,968,423.72/7,947.04
  6. Step 6: Final answer
    x = 8,678.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.