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Finding the Fourth Proportional to 10,184.84, 14,044.42 and 7,537.80

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Solution

The fourth proportional to 10,184.84, 14,044.42 and 7,537.80 is: 10,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.84 : 14,044.42 = 7,537.80 : x
  2. Step 2: Convert to fraction form
    10,184.84/14,044.42 = 7,537.80/x
  3. Step 3: Cross multiply
    10,184.84x = 14,044.42 × 7,537.80
  4. Step 4: Simplify right side
    10,184.84x = 105,864,029.08
  5. Step 5: Solve for x
    x = 105,864,029.08/10,184.84
  6. Step 6: Final answer
    x = 10,394.28

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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.