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Finding the Fourth Proportional to 11,300, 15,594.08 and 6,332

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Solution

The fourth proportional to 11,300, 15,594.08 and 6,332 is: 8,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300 : 15,594.08 = 6,332 : x
  2. Step 2: Convert to fraction form
    11,300/15,594.08 = 6,332/x
  3. Step 3: Cross multiply
    11,300x = 15,594.08 × 6,332
  4. Step 4: Simplify right side
    11,300x = 98,741,714.56
  5. Step 5: Solve for x
    x = 98,741,714.56/11,300
  6. Step 6: Final answer
    x = 8,738.20

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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.