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Finding the Fourth Proportional to 11,332, 15,638.16 and 6,364

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Solution

The fourth proportional to 11,332, 15,638.16 and 6,364 is: 8,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332 : 15,638.16 = 6,364 : x
  2. Step 2: Convert to fraction form
    11,332/15,638.16 = 6,364/x
  3. Step 3: Cross multiply
    11,332x = 15,638.16 × 6,364
  4. Step 4: Simplify right side
    11,332x = 99,521,250.24
  5. Step 5: Solve for x
    x = 99,521,250.24/11,332
  6. Step 6: Final answer
    x = 8,782.32

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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.