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Finding the Fourth Proportional to 7,288.72, 10,055.72 and 4,142.48

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Solution

The fourth proportional to 7,288.72, 10,055.72 and 4,142.48 is: 5,715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.72 : 10,055.72 = 4,142.48 : x
  2. Step 2: Convert to fraction form
    7,288.72/10,055.72 = 4,142.48/x
  3. Step 3: Cross multiply
    7,288.72x = 10,055.72 × 4,142.48
  4. Step 4: Simplify right side
    7,288.72x = 41,655,618.99
  5. Step 5: Solve for x
    x = 41,655,618.99/7,288.72
  6. Step 6: Final answer
    x = 5,715.08

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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.