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Finding the Fourth Proportional to 12,742, 17,584.02 and 7,153

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Solution

The fourth proportional to 12,742, 17,584.02 and 7,153 is: 9,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742 : 17,584.02 = 7,153 : x
  2. Step 2: Convert to fraction form
    12,742/17,584.02 = 7,153/x
  3. Step 3: Cross multiply
    12,742x = 17,584.02 × 7,153
  4. Step 4: Simplify right side
    12,742x = 125,778,495.06
  5. Step 5: Solve for x
    x = 125,778,495.06/12,742
  6. Step 6: Final answer
    x = 9,871.17

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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.