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Finding the Fourth Proportional to 10,461.69, 14,443.47 and 6,882.30

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Solution

The fourth proportional to 10,461.69, 14,443.47 and 6,882.30 is: 9,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.69 : 14,443.47 = 6,882.30 : x
  2. Step 2: Convert to fraction form
    10,461.69/14,443.47 = 6,882.30/x
  3. Step 3: Cross multiply
    10,461.69x = 14,443.47 × 6,882.30
  4. Step 4: Simplify right side
    10,461.69x = 99,404,293.58
  5. Step 5: Solve for x
    x = 99,404,293.58/10,461.69
  6. Step 6: Final answer
    x = 9,501.74

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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.