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Finding the Fourth Proportional to 8,656.29, 11,946.96 and 6,415.02

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Solution

The fourth proportional to 8,656.29, 11,946.96 and 6,415.02 is: 8,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.29 : 11,946.96 = 6,415.02 : x
  2. Step 2: Convert to fraction form
    8,656.29/11,946.96 = 6,415.02/x
  3. Step 3: Cross multiply
    8,656.29x = 11,946.96 × 6,415.02
  4. Step 4: Simplify right side
    8,656.29x = 76,639,987.34
  5. Step 5: Solve for x
    x = 76,639,987.34/8,656.29
  6. Step 6: Final answer
    x = 8,853.68

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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.