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Finding the Fourth Proportional to 8,394.66, 11,585.16 and 4,859.01

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Solution

The fourth proportional to 8,394.66, 11,585.16 and 4,859.01 is: 6,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.66 : 11,585.16 = 4,859.01 : x
  2. Step 2: Convert to fraction form
    8,394.66/11,585.16 = 4,859.01/x
  3. Step 3: Cross multiply
    8,394.66x = 11,585.16 × 4,859.01
  4. Step 4: Simplify right side
    8,394.66x = 56,292,408.29
  5. Step 5: Solve for x
    x = 56,292,408.29/8,394.66
  6. Step 6: Final answer
    x = 6,705.74

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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.