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Finding the Fourth Proportional to 11,323.02, 15,621.48 and 8,346

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Solution

The fourth proportional to 11,323.02, 15,621.48 and 8,346 is: 11,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.02 : 15,621.48 = 8,346 : x
  2. Step 2: Convert to fraction form
    11,323.02/15,621.48 = 8,346/x
  3. Step 3: Cross multiply
    11,323.02x = 15,621.48 × 8,346
  4. Step 4: Simplify right side
    11,323.02x = 130,376,872.08
  5. Step 5: Solve for x
    x = 130,376,872.08/11,323.02
  6. Step 6: Final answer
    x = 11,514.32

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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.