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Finding the Fourth Proportional to 7,259.52, 10,917.12 and 5,782.08

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Solution

The fourth proportional to 7,259.52, 10,917.12 and 5,782.08 is: 8,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.52 : 10,917.12 = 5,782.08 : x
  2. Step 2: Convert to fraction form
    7,259.52/10,917.12 = 5,782.08/x
  3. Step 3: Cross multiply
    7,259.52x = 10,917.12 × 5,782.08
  4. Step 4: Simplify right side
    7,259.52x = 63,123,661.21
  5. Step 5: Solve for x
    x = 63,123,661.21/7,259.52
  6. Step 6: Final answer
    x = 8,695.29

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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.