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Finding the Fourth Proportional to 8,312.24, 11,461.46 and 6,191.46

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Solution

The fourth proportional to 8,312.24, 11,461.46 and 6,191.46 is: 8,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.24 : 11,461.46 = 6,191.46 : x
  2. Step 2: Convert to fraction form
    8,312.24/11,461.46 = 6,191.46/x
  3. Step 3: Cross multiply
    8,312.24x = 11,461.46 × 6,191.46
  4. Step 4: Simplify right side
    8,312.24x = 70,963,140.17
  5. Step 5: Solve for x
    x = 70,963,140.17/8,312.24
  6. Step 6: Final answer
    x = 8,537.18

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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.