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Finding the Fourth Proportional to 6,989.34, 10,490.88 and 5,135.24

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Solution

The fourth proportional to 6,989.34, 10,490.88 and 5,135.24 is: 7,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.34 : 10,490.88 = 5,135.24 : x
  2. Step 2: Convert to fraction form
    6,989.34/10,490.88 = 5,135.24/x
  3. Step 3: Cross multiply
    6,989.34x = 10,490.88 × 5,135.24
  4. Step 4: Simplify right side
    6,989.34x = 53,873,186.61
  5. Step 5: Solve for x
    x = 53,873,186.61/6,989.34
  6. Step 6: Final answer
    x = 7,707.91

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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.