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Finding the Fourth Proportional to 8,312.34, 11,471.04 and 4,535.49

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Solution

The fourth proportional to 8,312.34, 11,471.04 and 4,535.49 is: 6,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.34 : 11,471.04 = 4,535.49 : x
  2. Step 2: Convert to fraction form
    8,312.34/11,471.04 = 4,535.49/x
  3. Step 3: Cross multiply
    8,312.34x = 11,471.04 × 4,535.49
  4. Step 4: Simplify right side
    8,312.34x = 52,026,787.21
  5. Step 5: Solve for x
    x = 52,026,787.21/8,312.34
  6. Step 6: Final answer
    x = 6,258.98

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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.