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Finding the Fourth Proportional to 7,726.02, 11,604.84 and 5,097.30

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Solution

The fourth proportional to 7,726.02, 11,604.84 and 5,097.30 is: 7,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.02 : 11,604.84 = 5,097.30 : x
  2. Step 2: Convert to fraction form
    7,726.02/11,604.84 = 5,097.30/x
  3. Step 3: Cross multiply
    7,726.02x = 11,604.84 × 5,097.30
  4. Step 4: Simplify right side
    7,726.02x = 59,153,350.93
  5. Step 5: Solve for x
    x = 59,153,350.93/7,726.02
  6. Step 6: Final answer
    x = 7,656.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.