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Finding the Fourth Proportional to 10,461.71, 14,437.17 and 6,214.82

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Solution

The fourth proportional to 10,461.71, 14,437.17 and 6,214.82 is: 8,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.71 : 14,437.17 = 6,214.82 : x
  2. Step 2: Convert to fraction form
    10,461.71/14,437.17 = 6,214.82/x
  3. Step 3: Cross multiply
    10,461.71x = 14,437.17 × 6,214.82
  4. Step 4: Simplify right side
    10,461.71x = 89,724,340.67
  5. Step 5: Solve for x
    x = 89,724,340.67/10,461.71
  6. Step 6: Final answer
    x = 8,576.45

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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.