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Finding the Fourth Proportional to 8,663.85, 11,956.04 and 4,684.93

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Solution

The fourth proportional to 8,663.85, 11,956.04 and 4,684.93 is: 6,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.85 : 11,956.04 = 4,684.93 : x
  2. Step 2: Convert to fraction form
    8,663.85/11,956.04 = 4,684.93/x
  3. Step 3: Cross multiply
    8,663.85x = 11,956.04 × 4,684.93
  4. Step 4: Simplify right side
    8,663.85x = 56,013,174.73
  5. Step 5: Solve for x
    x = 56,013,174.73/8,663.85
  6. Step 6: Final answer
    x = 6,465.16

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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.