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Finding the Fourth Proportional to 7,159.76, 10,729.91 and 5,317.82

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Solution

The fourth proportional to 7,159.76, 10,729.91 and 5,317.82 is: 7,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.76 : 10,729.91 = 5,317.82 : x
  2. Step 2: Convert to fraction form
    7,159.76/10,729.91 = 5,317.82/x
  3. Step 3: Cross multiply
    7,159.76x = 10,729.91 × 5,317.82
  4. Step 4: Simplify right side
    7,159.76x = 57,059,649.76
  5. Step 5: Solve for x
    x = 57,059,649.76/7,159.76
  6. Step 6: Final answer
    x = 7,969.50

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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.