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Finding the Fourth Proportional to 10,678.30, 16,015.80 and 3,656.70

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Solution

The fourth proportional to 10,678.30, 16,015.80 and 3,656.70 is: 5,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.30 : 16,015.80 = 3,656.70 : x
  2. Step 2: Convert to fraction form
    10,678.30/16,015.80 = 3,656.70/x
  3. Step 3: Cross multiply
    10,678.30x = 16,015.80 × 3,656.70
  4. Step 4: Simplify right side
    10,678.30x = 58,564,975.86
  5. Step 5: Solve for x
    x = 58,564,975.86/10,678.30
  6. Step 6: Final answer
    x = 5,484.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.