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Finding the Fourth Proportional to 10,140.54, 13,992.30 and 5,664.06

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Solution

The fourth proportional to 10,140.54, 13,992.30 and 5,664.06 is: 7,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.54 : 13,992.30 = 5,664.06 : x
  2. Step 2: Convert to fraction form
    10,140.54/13,992.30 = 5,664.06/x
  3. Step 3: Cross multiply
    10,140.54x = 13,992.30 × 5,664.06
  4. Step 4: Simplify right side
    10,140.54x = 79,253,226.74
  5. Step 5: Solve for x
    x = 79,253,226.74/10,140.54
  6. Step 6: Final answer
    x = 7,815.48

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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.