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Finding the Fourth Proportional to 7,582.52, 11,363.04 and 5,707.16

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Solution

The fourth proportional to 7,582.52, 11,363.04 and 5,707.16 is: 8,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.52 : 11,363.04 = 5,707.16 : x
  2. Step 2: Convert to fraction form
    7,582.52/11,363.04 = 5,707.16/x
  3. Step 3: Cross multiply
    7,582.52x = 11,363.04 × 5,707.16
  4. Step 4: Simplify right side
    7,582.52x = 64,850,630.55
  5. Step 5: Solve for x
    x = 64,850,630.55/7,582.52
  6. Step 6: Final answer
    x = 8,552.65

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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.