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Finding the Fourth Proportional to 8,232, 11,360.16 and 4,506

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Solution

The fourth proportional to 8,232, 11,360.16 and 4,506 is: 6,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 11,360.16 = 4,506 : x
  2. Step 2: Convert to fraction form
    8,232/11,360.16 = 4,506/x
  3. Step 3: Cross multiply
    8,232x = 11,360.16 × 4,506
  4. Step 4: Simplify right side
    8,232x = 51,188,880.96
  5. Step 5: Solve for x
    x = 51,188,880.96/8,232
  6. Step 6: Final answer
    x = 6,218.28

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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.