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Finding the Fourth Proportional to 13,607.64, 18,778.59 and 7,946.28

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Solution

The fourth proportional to 13,607.64, 18,778.59 and 7,946.28 is: 10,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.64 : 18,778.59 = 7,946.28 : x
  2. Step 2: Convert to fraction form
    13,607.64/18,778.59 = 7,946.28/x
  3. Step 3: Cross multiply
    13,607.64x = 18,778.59 × 7,946.28
  4. Step 4: Simplify right side
    13,607.64x = 149,219,934.15
  5. Step 5: Solve for x
    x = 149,219,934.15/13,607.64
  6. Step 6: Final answer
    x = 10,965.89

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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.