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Finding the Fourth Proportional to 8,312.91, 11,476.06 and 6,420.24

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Solution

The fourth proportional to 8,312.91, 11,476.06 and 6,420.24 is: 8,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.91 : 11,476.06 = 6,420.24 : x
  2. Step 2: Convert to fraction form
    8,312.91/11,476.06 = 6,420.24/x
  3. Step 3: Cross multiply
    8,312.91x = 11,476.06 × 6,420.24
  4. Step 4: Simplify right side
    8,312.91x = 73,679,059.45
  5. Step 5: Solve for x
    x = 73,679,059.45/8,312.91
  6. Step 6: Final answer
    x = 8,863.21

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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.