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Finding the Fourth Proportional to 7,241.76, 9,989.80 and 4,410

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Solution

The fourth proportional to 7,241.76, 9,989.80 and 4,410 is: 6,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.76 : 9,989.80 = 4,410 : x
  2. Step 2: Convert to fraction form
    7,241.76/9,989.80 = 4,410/x
  3. Step 3: Cross multiply
    7,241.76x = 9,989.80 × 4,410
  4. Step 4: Simplify right side
    7,241.76x = 44,055,018
  5. Step 5: Solve for x
    x = 44,055,018/7,241.76
  6. Step 6: Final answer
    x = 6,083.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.