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Finding the Fourth Proportional to 10,693.17, 16,026.75 and 7,574.09

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Solution

The fourth proportional to 10,693.17, 16,026.75 and 7,574.09 is: 11,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.17 : 16,026.75 = 7,574.09 : x
  2. Step 2: Convert to fraction form
    10,693.17/16,026.75 = 7,574.09/x
  3. Step 3: Cross multiply
    10,693.17x = 16,026.75 × 7,574.09
  4. Step 4: Simplify right side
    10,693.17x = 121,387,966.77
  5. Step 5: Solve for x
    x = 121,387,966.77/10,693.17
  6. Step 6: Final answer
    x = 11,351.92

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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.