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Finding the Fourth Proportional to 10,612, 14,643.44 and 6,135.36

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Solution

The fourth proportional to 10,612, 14,643.44 and 6,135.36 is: 8,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612 : 14,643.44 = 6,135.36 : x
  2. Step 2: Convert to fraction form
    10,612/14,643.44 = 6,135.36/x
  3. Step 3: Cross multiply
    10,612x = 14,643.44 × 6,135.36
  4. Step 4: Simplify right side
    10,612x = 89,842,776.04
  5. Step 5: Solve for x
    x = 89,842,776.04/10,612
  6. Step 6: Final answer
    x = 8,466.15

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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.