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Finding the Fourth Proportional to 8,664.04, 11,956.35 and 4,685.14

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Solution

The fourth proportional to 8,664.04, 11,956.35 and 4,685.14 is: 6,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.04 : 11,956.35 = 4,685.14 : x
  2. Step 2: Convert to fraction form
    8,664.04/11,956.35 = 4,685.14/x
  3. Step 3: Cross multiply
    8,664.04x = 11,956.35 × 4,685.14
  4. Step 4: Simplify right side
    8,664.04x = 56,017,173.64
  5. Step 5: Solve for x
    x = 56,017,173.64/8,664.04
  6. Step 6: Final answer
    x = 6,465.48

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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.