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Finding the Fourth Proportional to 10,066.36, 13,886.88 and 7,704.40

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Solution

The fourth proportional to 10,066.36, 13,886.88 and 7,704.40 is: 10,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.36 : 13,886.88 = 7,704.40 : x
  2. Step 2: Convert to fraction form
    10,066.36/13,886.88 = 7,704.40/x
  3. Step 3: Cross multiply
    10,066.36x = 13,886.88 × 7,704.40
  4. Step 4: Simplify right side
    10,066.36x = 106,990,078.27
  5. Step 5: Solve for x
    x = 106,990,078.27/10,066.36
  6. Step 6: Final answer
    x = 10,628.48

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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.