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Finding the Fourth Proportional to 11,572.39, 15,970.21 and 6,537.35

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Solution

The fourth proportional to 11,572.39, 15,970.21 and 6,537.35 is: 9,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.39 : 15,970.21 = 6,537.35 : x
  2. Step 2: Convert to fraction form
    11,572.39/15,970.21 = 6,537.35/x
  3. Step 3: Cross multiply
    11,572.39x = 15,970.21 × 6,537.35
  4. Step 4: Simplify right side
    11,572.39x = 104,402,819.66
  5. Step 5: Solve for x
    x = 104,402,819.66/11,572.39
  6. Step 6: Final answer
    x = 9,021.72

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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.