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Finding the Fourth Proportional to 10,044.54, 13,857.51 and 6,265.50

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Solution

The fourth proportional to 10,044.54, 13,857.51 and 6,265.50 is: 8,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.54 : 13,857.51 = 6,265.50 : x
  2. Step 2: Convert to fraction form
    10,044.54/13,857.51 = 6,265.50/x
  3. Step 3: Cross multiply
    10,044.54x = 13,857.51 × 6,265.50
  4. Step 4: Simplify right side
    10,044.54x = 86,824,228.91
  5. Step 5: Solve for x
    x = 86,824,228.91/10,044.54
  6. Step 6: Final answer
    x = 8,643.92

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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.