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Finding the Fourth Proportional to 7,320, 10,089.72 and 5,723.76

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Solution

The fourth proportional to 7,320, 10,089.72 and 5,723.76 is: 7,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320 : 10,089.72 = 5,723.76 : x
  2. Step 2: Convert to fraction form
    7,320/10,089.72 = 5,723.76/x
  3. Step 3: Cross multiply
    7,320x = 10,089.72 × 5,723.76
  4. Step 4: Simplify right side
    7,320x = 57,751,135.75
  5. Step 5: Solve for x
    x = 57,751,135.75/7,320
  6. Step 6: Final answer
    x = 7,889.50

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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.