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Finding the Fourth Proportional to 8,312.16, 11,471.22 and 4,775.60

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Solution

The fourth proportional to 8,312.16, 11,471.22 and 4,775.60 is: 6,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.16 : 11,471.22 = 4,775.60 : x
  2. Step 2: Convert to fraction form
    8,312.16/11,471.22 = 4,775.60/x
  3. Step 3: Cross multiply
    8,312.16x = 11,471.22 × 4,775.60
  4. Step 4: Simplify right side
    8,312.16x = 54,781,958.23
  5. Step 5: Solve for x
    x = 54,781,958.23/8,312.16
  6. Step 6: Final answer
    x = 6,590.58

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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.