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Finding the Fourth Proportional to 12,132, 16,746.48 and 7,164

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Solution

The fourth proportional to 12,132, 16,746.48 and 7,164 is: 9,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132 : 16,746.48 = 7,164 : x
  2. Step 2: Convert to fraction form
    12,132/16,746.48 = 7,164/x
  3. Step 3: Cross multiply
    12,132x = 16,746.48 × 7,164
  4. Step 4: Simplify right side
    12,132x = 119,971,782.72
  5. Step 5: Solve for x
    x = 119,971,782.72/12,132
  6. Step 6: Final answer
    x = 9,888.87

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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.