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Finding the Fourth Proportional to 7,106.65, 10,652.68 and 3,585.99

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Solution

The fourth proportional to 7,106.65, 10,652.68 and 3,585.99 is: 5,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.65 : 10,652.68 = 3,585.99 : x
  2. Step 2: Convert to fraction form
    7,106.65/10,652.68 = 3,585.99/x
  3. Step 3: Cross multiply
    7,106.65x = 10,652.68 × 3,585.99
  4. Step 4: Simplify right side
    7,106.65x = 38,200,403.95
  5. Step 5: Solve for x
    x = 38,200,403.95/7,106.65
  6. Step 6: Final answer
    x = 5,375.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.