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Finding the Fourth Proportional to 8,590, 11,854.44 and 4,864.24

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Solution

The fourth proportional to 8,590, 11,854.44 and 4,864.24 is: 6,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590 : 11,854.44 = 4,864.24 : x
  2. Step 2: Convert to fraction form
    8,590/11,854.44 = 4,864.24/x
  3. Step 3: Cross multiply
    8,590x = 11,854.44 × 4,864.24
  4. Step 4: Simplify right side
    8,590x = 57,662,841.23
  5. Step 5: Solve for x
    x = 57,662,841.23/8,590
  6. Step 6: Final answer
    x = 6,712.79

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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.