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Finding the Fourth Proportional to 10,848.77, 14,963.42 and 8,302.26

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Solution

The fourth proportional to 10,848.77, 14,963.42 and 8,302.26 is: 11,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,848.77 : 14,963.42 = 8,302.26 : x
  2. Step 2: Convert to fraction form
    10,848.77/14,963.42 = 8,302.26/x
  3. Step 3: Cross multiply
    10,848.77x = 14,963.42 × 8,302.26
  4. Step 4: Simplify right side
    10,848.77x = 124,230,224.08
  5. Step 5: Solve for x
    x = 124,230,224.08/10,848.77
  6. Step 6: Final answer
    x = 11,451.09

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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.