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Finding the Fourth Proportional to 7,592.24, 10,477.68 and 5,726

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Solution

The fourth proportional to 7,592.24, 10,477.68 and 5,726 is: 7,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.24 : 10,477.68 = 5,726 : x
  2. Step 2: Convert to fraction form
    7,592.24/10,477.68 = 5,726/x
  3. Step 3: Cross multiply
    7,592.24x = 10,477.68 × 5,726
  4. Step 4: Simplify right side
    7,592.24x = 59,995,195.68
  5. Step 5: Solve for x
    x = 59,995,195.68/7,592.24
  6. Step 6: Final answer
    x = 7,902.17

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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.