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Finding the Fourth Proportional to 10,678.97, 14,742.74 and 6,431.06

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Solution

The fourth proportional to 10,678.97, 14,742.74 and 6,431.06 is: 8,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.97 : 14,742.74 = 6,431.06 : x
  2. Step 2: Convert to fraction form
    10,678.97/14,742.74 = 6,431.06/x
  3. Step 3: Cross multiply
    10,678.97x = 14,742.74 × 6,431.06
  4. Step 4: Simplify right side
    10,678.97x = 94,811,339.64
  5. Step 5: Solve for x
    x = 94,811,339.64/10,678.97
  6. Step 6: Final answer
    x = 8,878.33

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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.