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Finding the Fourth Proportional to 10,700.64, 16,054.08 and 4,861.92

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Solution

The fourth proportional to 10,700.64, 16,054.08 and 4,861.92 is: 7,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.64 : 16,054.08 = 4,861.92 : x
  2. Step 2: Convert to fraction form
    10,700.64/16,054.08 = 4,861.92/x
  3. Step 3: Cross multiply
    10,700.64x = 16,054.08 × 4,861.92
  4. Step 4: Simplify right side
    10,700.64x = 78,053,652.63
  5. Step 5: Solve for x
    x = 78,053,652.63/10,700.64
  6. Step 6: Final answer
    x = 7,294.30

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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.