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Finding the Fourth Proportional to 11,288.72, 15,569.88 and 9,889.04

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Solution

The fourth proportional to 11,288.72, 15,569.88 and 9,889.04 is: 13,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.72 : 15,569.88 = 9,889.04 : x
  2. Step 2: Convert to fraction form
    11,288.72/15,569.88 = 9,889.04/x
  3. Step 3: Cross multiply
    11,288.72x = 15,569.88 × 9,889.04
  4. Step 4: Simplify right side
    11,288.72x = 153,971,166.12
  5. Step 5: Solve for x
    x = 153,971,166.12/11,288.72
  6. Step 6: Final answer
    x = 13,639.38

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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.