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Finding the Fourth Proportional to 10,519.16, 14,498.82 and 9,239.76

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Solution

The fourth proportional to 10,519.16, 14,498.82 and 9,239.76 is: 12,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.16 : 14,498.82 = 9,239.76 : x
  2. Step 2: Convert to fraction form
    10,519.16/14,498.82 = 9,239.76/x
  3. Step 3: Cross multiply
    10,519.16x = 14,498.82 × 9,239.76
  4. Step 4: Simplify right side
    10,519.16x = 133,965,617.08
  5. Step 5: Solve for x
    x = 133,965,617.08/10,519.16
  6. Step 6: Final answer
    x = 12,735.40

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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.