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Finding the Fourth Proportional to 7,595.22, 10,478.94 and 4,237.50

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Solution

The fourth proportional to 7,595.22, 10,478.94 and 4,237.50 is: 5,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,595.22 : 10,478.94 = 4,237.50 : x
  2. Step 2: Convert to fraction form
    7,595.22/10,478.94 = 4,237.50/x
  3. Step 3: Cross multiply
    7,595.22x = 10,478.94 × 4,237.50
  4. Step 4: Simplify right side
    7,595.22x = 44,404,508.25
  5. Step 5: Solve for x
    x = 44,404,508.25/7,595.22
  6. Step 6: Final answer
    x = 5,846.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.