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Finding the Fourth Proportional to 7,313.13, 10,089.49 and 4,167.50

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Solution

The fourth proportional to 7,313.13, 10,089.49 and 4,167.50 is: 5,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.13 : 10,089.49 = 4,167.50 : x
  2. Step 2: Convert to fraction form
    7,313.13/10,089.49 = 4,167.50/x
  3. Step 3: Cross multiply
    7,313.13x = 10,089.49 × 4,167.50
  4. Step 4: Simplify right side
    7,313.13x = 42,047,949.58
  5. Step 5: Solve for x
    x = 42,047,949.58/7,313.13
  6. Step 6: Final answer
    x = 5,749.65

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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.