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Finding the Fourth Proportional to 10,466.51, 15,675.14 and 8,260.47

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Solution

The fourth proportional to 10,466.51, 15,675.14 and 8,260.47 is: 12,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.51 : 15,675.14 = 8,260.47 : x
  2. Step 2: Convert to fraction form
    10,466.51/15,675.14 = 8,260.47/x
  3. Step 3: Cross multiply
    10,466.51x = 15,675.14 × 8,260.47
  4. Step 4: Simplify right side
    10,466.51x = 129,483,982.41
  5. Step 5: Solve for x
    x = 129,483,982.41/10,466.51
  6. Step 6: Final answer
    x = 12,371.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.