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Finding the Fourth Proportional to 11,556, 15,937.02 and 7,301.88

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Solution

The fourth proportional to 11,556, 15,937.02 and 7,301.88 is: 10,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 15,937.02 = 7,301.88 : x
  2. Step 2: Convert to fraction form
    11,556/15,937.02 = 7,301.88/x
  3. Step 3: Cross multiply
    11,556x = 15,937.02 × 7,301.88
  4. Step 4: Simplify right side
    11,556x = 116,370,207.60
  5. Step 5: Solve for x
    x = 116,370,207.60/11,556
  6. Step 6: Final answer
    x = 10,070.11

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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.