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Finding the Fourth Proportional to 7,002.40, 10,511.70 and 4,043.20

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Solution

The fourth proportional to 7,002.40, 10,511.70 and 4,043.20 is: 6,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.40 : 10,511.70 = 4,043.20 : x
  2. Step 2: Convert to fraction form
    7,002.40/10,511.70 = 4,043.20/x
  3. Step 3: Cross multiply
    7,002.40x = 10,511.70 × 4,043.20
  4. Step 4: Simplify right side
    7,002.40x = 42,500,905.44
  5. Step 5: Solve for x
    x = 42,500,905.44/7,002.40
  6. Step 6: Final answer
    x = 6,069.48

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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.