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Finding the Fourth Proportional to 7,005.69, 10,509.18 and 3,306.90

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Solution

The fourth proportional to 7,005.69, 10,509.18 and 3,306.90 is: 4,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.69 : 10,509.18 = 3,306.90 : x
  2. Step 2: Convert to fraction form
    7,005.69/10,509.18 = 3,306.90/x
  3. Step 3: Cross multiply
    7,005.69x = 10,509.18 × 3,306.90
  4. Step 4: Simplify right side
    7,005.69x = 34,752,807.34
  5. Step 5: Solve for x
    x = 34,752,807.34/7,005.69
  6. Step 6: Final answer
    x = 4,960.65

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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.