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Finding the Fourth Proportional to 10,498.41, 14,497.43 and 6,671.28

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Solution

The fourth proportional to 10,498.41, 14,497.43 and 6,671.28 is: 9,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.41 : 14,497.43 = 6,671.28 : x
  2. Step 2: Convert to fraction form
    10,498.41/14,497.43 = 6,671.28/x
  3. Step 3: Cross multiply
    10,498.41x = 14,497.43 × 6,671.28
  4. Step 4: Simplify right side
    10,498.41x = 96,716,414.81
  5. Step 5: Solve for x
    x = 96,716,414.81/10,498.41
  6. Step 6: Final answer
    x = 9,212.48

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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.