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Finding the Fourth Proportional to 8,312.81, 11,471.96 and 4,775.36

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Solution

The fourth proportional to 8,312.81, 11,471.96 and 4,775.36 is: 6,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.81 : 11,471.96 = 4,775.36 : x
  2. Step 2: Convert to fraction form
    8,312.81/11,471.96 = 4,775.36/x
  3. Step 3: Cross multiply
    8,312.81x = 11,471.96 × 4,775.36
  4. Step 4: Simplify right side
    8,312.81x = 54,782,693.48
  5. Step 5: Solve for x
    x = 54,782,693.48/8,312.81
  6. Step 6: Final answer
    x = 6,590.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.