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Finding the Fourth Proportional to 7,002.47, 10,483.20 and 6,947.12

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Solution

The fourth proportional to 7,002.47, 10,483.20 and 6,947.12 is: 10,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.47 : 10,483.20 = 6,947.12 : x
  2. Step 2: Convert to fraction form
    7,002.47/10,483.20 = 6,947.12/x
  3. Step 3: Cross multiply
    7,002.47x = 10,483.20 × 6,947.12
  4. Step 4: Simplify right side
    7,002.47x = 72,828,074.59
  5. Step 5: Solve for x
    x = 72,828,074.59/7,002.47
  6. Step 6: Final answer
    x = 10,400.34

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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.