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Finding the Fourth Proportional to 10,700.49, 16,054.53 and 4,776.83

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Solution

The fourth proportional to 10,700.49, 16,054.53 and 4,776.83 is: 7,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.49 : 16,054.53 = 4,776.83 : x
  2. Step 2: Convert to fraction form
    10,700.49/16,054.53 = 4,776.83/x
  3. Step 3: Cross multiply
    10,700.49x = 16,054.53 × 4,776.83
  4. Step 4: Simplify right side
    10,700.49x = 76,689,722.56
  5. Step 5: Solve for x
    x = 76,689,722.56/10,700.49
  6. Step 6: Final answer
    x = 7,166.93

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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.