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Finding the Fourth Proportional to 8,312.77, 11,471.27 and 4,535.88

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Solution

The fourth proportional to 8,312.77, 11,471.27 and 4,535.88 is: 6,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.77 : 11,471.27 = 4,535.88 : x
  2. Step 2: Convert to fraction form
    8,312.77/11,471.27 = 4,535.88/x
  3. Step 3: Cross multiply
    8,312.77x = 11,471.27 × 4,535.88
  4. Step 4: Simplify right side
    8,312.77x = 52,032,238.47
  5. Step 5: Solve for x
    x = 52,032,238.47/8,312.77
  6. Step 6: Final answer
    x = 6,259.31

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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.