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Finding the Fourth Proportional to 11,164.32, 16,737.84 and 5,004

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Solution

The fourth proportional to 11,164.32, 16,737.84 and 5,004 is: 7,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.32 : 16,737.84 = 5,004 : x
  2. Step 2: Convert to fraction form
    11,164.32/16,737.84 = 5,004/x
  3. Step 3: Cross multiply
    11,164.32x = 16,737.84 × 5,004
  4. Step 4: Simplify right side
    11,164.32x = 83,756,151.36
  5. Step 5: Solve for x
    x = 83,756,151.36/11,164.32
  6. Step 6: Final answer
    x = 7,502.13

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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.