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Finding the Fourth Proportional to 7,501.82, 10,352.34 and 4,144.50

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Solution

The fourth proportional to 7,501.82, 10,352.34 and 4,144.50 is: 5,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501.82 : 10,352.34 = 4,144.50 : x
  2. Step 2: Convert to fraction form
    7,501.82/10,352.34 = 4,144.50/x
  3. Step 3: Cross multiply
    7,501.82x = 10,352.34 × 4,144.50
  4. Step 4: Simplify right side
    7,501.82x = 42,905,273.13
  5. Step 5: Solve for x
    x = 42,905,273.13/7,501.82
  6. Step 6: Final answer
    x = 5,719.32

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