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Finding the Fourth Proportional to 10,494.14, 15,746.66 and 4,649.38

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Solution

The fourth proportional to 10,494.14, 15,746.66 and 4,649.38 is: 6,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.14 : 15,746.66 = 4,649.38 : x
  2. Step 2: Convert to fraction form
    10,494.14/15,746.66 = 4,649.38/x
  3. Step 3: Cross multiply
    10,494.14x = 15,746.66 × 4,649.38
  4. Step 4: Simplify right side
    10,494.14x = 73,212,206.07
  5. Step 5: Solve for x
    x = 73,212,206.07/10,494.14
  6. Step 6: Final answer
    x = 6,976.48

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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.