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Finding the Fourth Proportional to 7,095.65, 10,645.20 and 3,200.06

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Solution

The fourth proportional to 7,095.65, 10,645.20 and 3,200.06 is: 4,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.65 : 10,645.20 = 3,200.06 : x
  2. Step 2: Convert to fraction form
    7,095.65/10,645.20 = 3,200.06/x
  3. Step 3: Cross multiply
    7,095.65x = 10,645.20 × 3,200.06
  4. Step 4: Simplify right side
    7,095.65x = 34,065,278.71
  5. Step 5: Solve for x
    x = 34,065,278.71/7,095.65
  6. Step 6: Final answer
    x = 4,800.87

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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.