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Finding the Fourth Proportional to 7,181.76, 10,766.88 and 4,440

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Solution

The fourth proportional to 7,181.76, 10,766.88 and 4,440 is: 6,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.76 : 10,766.88 = 4,440 : x
  2. Step 2: Convert to fraction form
    7,181.76/10,766.88 = 4,440/x
  3. Step 3: Cross multiply
    7,181.76x = 10,766.88 × 4,440
  4. Step 4: Simplify right side
    7,181.76x = 47,804,947.20
  5. Step 5: Solve for x
    x = 47,804,947.20/7,181.76
  6. Step 6: Final answer
    x = 6,656.44

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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.