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Finding the Fourth Proportional to 6,729.72, 10,095.93 and 2,346

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Solution

The fourth proportional to 6,729.72, 10,095.93 and 2,346 is: 3,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.72 : 10,095.93 = 2,346 : x
  2. Step 2: Convert to fraction form
    6,729.72/10,095.93 = 2,346/x
  3. Step 3: Cross multiply
    6,729.72x = 10,095.93 × 2,346
  4. Step 4: Simplify right side
    6,729.72x = 23,685,051.78
  5. Step 5: Solve for x
    x = 23,685,051.78/6,729.72
  6. Step 6: Final answer
    x = 3,519.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.