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Finding the Fourth Proportional to 11,132, 15,362.16 and 6,164

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Solution

The fourth proportional to 11,132, 15,362.16 and 6,164 is: 8,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132 : 15,362.16 = 6,164 : x
  2. Step 2: Convert to fraction form
    11,132/15,362.16 = 6,164/x
  3. Step 3: Cross multiply
    11,132x = 15,362.16 × 6,164
  4. Step 4: Simplify right side
    11,132x = 94,692,354.24
  5. Step 5: Solve for x
    x = 94,692,354.24/11,132
  6. Step 6: Final answer
    x = 8,506.32

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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.