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Finding the Fourth Proportional to 11,584, 15,985.92 and 6,616

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Solution

The fourth proportional to 11,584, 15,985.92 and 6,616 is: 9,130.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584 : 15,985.92 = 6,616 : x
  2. Step 2: Convert to fraction form
    11,584/15,985.92 = 6,616/x
  3. Step 3: Cross multiply
    11,584x = 15,985.92 × 6,616
  4. Step 4: Simplify right side
    11,584x = 105,762,846.72
  5. Step 5: Solve for x
    x = 105,762,846.72/11,584
  6. Step 6: Final answer
    x = 9,130.08

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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.