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Finding the Fourth Proportional to 8,554.38, 11,802.27 and 4,776.93

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Solution

The fourth proportional to 8,554.38, 11,802.27 and 4,776.93 is: 6,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.38 : 11,802.27 = 4,776.93 : x
  2. Step 2: Convert to fraction form
    8,554.38/11,802.27 = 4,776.93/x
  3. Step 3: Cross multiply
    8,554.38x = 11,802.27 × 4,776.93
  4. Step 4: Simplify right side
    8,554.38x = 56,378,617.63
  5. Step 5: Solve for x
    x = 56,378,617.63/8,554.38
  6. Step 6: Final answer
    x = 6,590.61

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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.