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Finding the Fourth Proportional to 7,906.11, 10,911.51 and 4,548.86

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Solution

The fourth proportional to 7,906.11, 10,911.51 and 4,548.86 is: 6,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.11 : 10,911.51 = 4,548.86 : x
  2. Step 2: Convert to fraction form
    7,906.11/10,911.51 = 4,548.86/x
  3. Step 3: Cross multiply
    7,906.11x = 10,911.51 × 4,548.86
  4. Step 4: Simplify right side
    7,906.11x = 49,634,931.38
  5. Step 5: Solve for x
    x = 49,634,931.38/7,906.11
  6. Step 6: Final answer
    x = 6,278.05

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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.