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Finding the Fourth Proportional to 7,595.70, 11,389.27 and 5,836.34

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Solution

The fourth proportional to 7,595.70, 11,389.27 and 5,836.34 is: 8,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,595.70 : 11,389.27 = 5,836.34 : x
  2. Step 2: Convert to fraction form
    7,595.70/11,389.27 = 5,836.34/x
  3. Step 3: Cross multiply
    7,595.70x = 11,389.27 × 5,836.34
  4. Step 4: Simplify right side
    7,595.70x = 66,471,652.07
  5. Step 5: Solve for x
    x = 66,471,652.07/7,595.70
  6. Step 6: Final answer
    x = 8,751.22

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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.