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Finding the Fourth Proportional to 10,689.71, 14,752.94 and 6,215.54

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Solution

The fourth proportional to 10,689.71, 14,752.94 and 6,215.54 is: 8,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.71 : 14,752.94 = 6,215.54 : x
  2. Step 2: Convert to fraction form
    10,689.71/14,752.94 = 6,215.54/x
  3. Step 3: Cross multiply
    10,689.71x = 14,752.94 × 6,215.54
  4. Step 4: Simplify right side
    10,689.71x = 91,697,383.85
  5. Step 5: Solve for x
    x = 91,697,383.85/10,689.71
  6. Step 6: Final answer
    x = 8,578.10

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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.