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Finding the Fourth Proportional to 10,112.98, 15,224.08 and 9,095.77

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Solution

The fourth proportional to 10,112.98, 15,224.08 and 9,095.77 is: 13,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.98 : 15,224.08 = 9,095.77 : x
  2. Step 2: Convert to fraction form
    10,112.98/15,224.08 = 9,095.77/x
  3. Step 3: Cross multiply
    10,112.98x = 15,224.08 × 9,095.77
  4. Step 4: Simplify right side
    10,112.98x = 138,474,730.14
  5. Step 5: Solve for x
    x = 138,474,730.14/10,112.98
  6. Step 6: Final answer
    x = 13,692.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.