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Finding the Fourth Proportional to 10,111.23, 13,946.68 and 8,782.63

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Solution

The fourth proportional to 10,111.23, 13,946.68 and 8,782.63 is: 12,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.23 : 13,946.68 = 8,782.63 : x
  2. Step 2: Convert to fraction form
    10,111.23/13,946.68 = 8,782.63/x
  3. Step 3: Cross multiply
    10,111.23x = 13,946.68 × 8,782.63
  4. Step 4: Simplify right side
    10,111.23x = 122,488,506.28
  5. Step 5: Solve for x
    x = 122,488,506.28/10,111.23
  6. Step 6: Final answer
    x = 12,114.11

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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.