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Finding the Fourth Proportional to 11,537.91, 15,921.05 and 6,502.01

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Solution

The fourth proportional to 11,537.91, 15,921.05 and 6,502.01 is: 8,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.91 : 15,921.05 = 6,502.01 : x
  2. Step 2: Convert to fraction form
    11,537.91/15,921.05 = 6,502.01/x
  3. Step 3: Cross multiply
    11,537.91x = 15,921.05 × 6,502.01
  4. Step 4: Simplify right side
    11,537.91x = 103,518,714.20
  5. Step 5: Solve for x
    x = 103,518,714.20/11,537.91
  6. Step 6: Final answer
    x = 8,972.05

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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.