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Finding the Fourth Proportional to 8,387.08, 11,572.14 and 4,661.08

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Solution

The fourth proportional to 8,387.08, 11,572.14 and 4,661.08 is: 6,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.08 : 11,572.14 = 4,661.08 : x
  2. Step 2: Convert to fraction form
    8,387.08/11,572.14 = 4,661.08/x
  3. Step 3: Cross multiply
    8,387.08x = 11,572.14 × 4,661.08
  4. Step 4: Simplify right side
    8,387.08x = 53,938,670.31
  5. Step 5: Solve for x
    x = 53,938,670.31/8,387.08
  6. Step 6: Final answer
    x = 6,431.16

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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.