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Finding the Fourth Proportional to 8,584.51, 12,881.63 and 4,635.71

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Solution

The fourth proportional to 8,584.51, 12,881.63 and 4,635.71 is: 6,956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.51 : 12,881.63 = 4,635.71 : x
  2. Step 2: Convert to fraction form
    8,584.51/12,881.63 = 4,635.71/x
  3. Step 3: Cross multiply
    8,584.51x = 12,881.63 × 4,635.71
  4. Step 4: Simplify right side
    8,584.51x = 59,715,501.01
  5. Step 5: Solve for x
    x = 59,715,501.01/8,584.51
  6. Step 6: Final answer
    x = 6,956.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.