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Finding the Fourth Proportional to 7,303.92, 10,085.76 and 5,729.28

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Solution

The fourth proportional to 7,303.92, 10,085.76 and 5,729.28 is: 7,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.92 : 10,085.76 = 5,729.28 : x
  2. Step 2: Convert to fraction form
    7,303.92/10,085.76 = 5,729.28/x
  3. Step 3: Cross multiply
    7,303.92x = 10,085.76 × 5,729.28
  4. Step 4: Simplify right side
    7,303.92x = 57,784,143.05
  5. Step 5: Solve for x
    x = 57,784,143.05/7,303.92
  6. Step 6: Final answer
    x = 7,911.39

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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.