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Finding the Fourth Proportional to 8,922.77, 13,374.50 and 5,805

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Solution

The fourth proportional to 8,922.77, 13,374.50 and 5,805 is: 8,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.77 : 13,374.50 = 5,805 : x
  2. Step 2: Convert to fraction form
    8,922.77/13,374.50 = 5,805/x
  3. Step 3: Cross multiply
    8,922.77x = 13,374.50 × 5,805
  4. Step 4: Simplify right side
    8,922.77x = 77,638,943.48
  5. Step 5: Solve for x
    x = 77,638,943.48/8,922.77
  6. Step 6: Final answer
    x = 8,701.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.