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Finding the Fourth Proportional to 7,590.16, 11,363.10 and 4,659.58

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Solution

The fourth proportional to 7,590.16, 11,363.10 and 4,659.58 is: 6,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.16 : 11,363.10 = 4,659.58 : x
  2. Step 2: Convert to fraction form
    7,590.16/11,363.10 = 4,659.58/x
  3. Step 3: Cross multiply
    7,590.16x = 11,363.10 × 4,659.58
  4. Step 4: Simplify right side
    7,590.16x = 52,947,273.50
  5. Step 5: Solve for x
    x = 52,947,273.50/7,590.16
  6. Step 6: Final answer
    x = 6,975.78

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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.