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Finding the Fourth Proportional to 7,277.17, 10,056.10 and 6,199.84

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Solution

The fourth proportional to 7,277.17, 10,056.10 and 6,199.84 is: 8,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.17 : 10,056.10 = 6,199.84 : x
  2. Step 2: Convert to fraction form
    7,277.17/10,056.10 = 6,199.84/x
  3. Step 3: Cross multiply
    7,277.17x = 10,056.10 × 6,199.84
  4. Step 4: Simplify right side
    7,277.17x = 62,346,219.72
  5. Step 5: Solve for x
    x = 62,346,219.72/7,277.17
  6. Step 6: Final answer
    x = 8,567.38

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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.