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Finding the Fourth Proportional to 11,504.16, 15,865.98 and 9,720.39

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Solution

The fourth proportional to 11,504.16, 15,865.98 and 9,720.39 is: 13,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.16 : 15,865.98 = 9,720.39 : x
  2. Step 2: Convert to fraction form
    11,504.16/15,865.98 = 9,720.39/x
  3. Step 3: Cross multiply
    11,504.16x = 15,865.98 × 9,720.39
  4. Step 4: Simplify right side
    11,504.16x = 154,223,513.33
  5. Step 5: Solve for x
    x = 154,223,513.33/11,504.16
  6. Step 6: Final answer
    x = 13,405.89

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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.