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Finding the Fourth Proportional to 8,271.78, 11,415.12 and 4,686.93

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Solution

The fourth proportional to 8,271.78, 11,415.12 and 4,686.93 is: 6,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.78 : 11,415.12 = 4,686.93 : x
  2. Step 2: Convert to fraction form
    8,271.78/11,415.12 = 4,686.93/x
  3. Step 3: Cross multiply
    8,271.78x = 11,415.12 × 4,686.93
  4. Step 4: Simplify right side
    8,271.78x = 53,501,868.38
  5. Step 5: Solve for x
    x = 53,501,868.38/8,271.78
  6. Step 6: Final answer
    x = 6,468.00

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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.