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Finding the Fourth Proportional to 7,002.06, 10,509.81 and 3,107.82

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Solution

The fourth proportional to 7,002.06, 10,509.81 and 3,107.82 is: 4,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.06 : 10,509.81 = 3,107.82 : x
  2. Step 2: Convert to fraction form
    7,002.06/10,509.81 = 3,107.82/x
  3. Step 3: Cross multiply
    7,002.06x = 10,509.81 × 3,107.82
  4. Step 4: Simplify right side
    7,002.06x = 32,662,597.71
  5. Step 5: Solve for x
    x = 32,662,597.71/7,002.06
  6. Step 6: Final answer
    x = 4,664.71

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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.