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Finding the Fourth Proportional to 7,530.92, 11,298.54 and 2,917.16

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Solution

The fourth proportional to 7,530.92, 11,298.54 and 2,917.16 is: 4,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.92 : 11,298.54 = 2,917.16 : x
  2. Step 2: Convert to fraction form
    7,530.92/11,298.54 = 2,917.16/x
  3. Step 3: Cross multiply
    7,530.92x = 11,298.54 × 2,917.16
  4. Step 4: Simplify right side
    7,530.92x = 32,959,648.95
  5. Step 5: Solve for x
    x = 32,959,648.95/7,530.92
  6. Step 6: Final answer
    x = 4,376.58

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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.