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Finding the Fourth Proportional to 10,700.39, 16,053 and 5,769.92

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Solution

The fourth proportional to 10,700.39, 16,053 and 5,769.92 is: 8,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.39 : 16,053 = 5,769.92 : x
  2. Step 2: Convert to fraction form
    10,700.39/16,053 = 5,769.92/x
  3. Step 3: Cross multiply
    10,700.39x = 16,053 × 5,769.92
  4. Step 4: Simplify right side
    10,700.39x = 92,624,445.50
  5. Step 5: Solve for x
    x = 92,624,445.50/10,700.39
  6. Step 6: Final answer
    x = 8,656.18

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Why These Related Problems?

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