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Finding the Fourth Proportional to 7,799.76, 11,704.32 and 5,024.16

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Solution

The fourth proportional to 7,799.76, 11,704.32 and 5,024.16 is: 7,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.76 : 11,704.32 = 5,024.16 : x
  2. Step 2: Convert to fraction form
    7,799.76/11,704.32 = 5,024.16/x
  3. Step 3: Cross multiply
    7,799.76x = 11,704.32 × 5,024.16
  4. Step 4: Simplify right side
    7,799.76x = 58,804,376.37
  5. Step 5: Solve for x
    x = 58,804,376.37/7,799.76
  6. Step 6: Final answer
    x = 7,539.25

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Why These Related Problems?

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