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Finding the Fourth Proportional to 8,334, 11,501.17 and 4,557.08

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Solution

The fourth proportional to 8,334, 11,501.17 and 4,557.08 is: 6,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334 : 11,501.17 = 4,557.08 : x
  2. Step 2: Convert to fraction form
    8,334/11,501.17 = 4,557.08/x
  3. Step 3: Cross multiply
    8,334x = 11,501.17 × 4,557.08
  4. Step 4: Simplify right side
    8,334x = 52,411,751.78
  5. Step 5: Solve for x
    x = 52,411,751.78/8,334
  6. Step 6: Final answer
    x = 6,288.91

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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.