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Finding the Fourth Proportional to 10,700.70, 16,051.08 and 2,909.51

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Solution

The fourth proportional to 10,700.70, 16,051.08 and 2,909.51 is: 4,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.70 : 16,051.08 = 2,909.51 : x
  2. Step 2: Convert to fraction form
    10,700.70/16,051.08 = 2,909.51/x
  3. Step 3: Cross multiply
    10,700.70x = 16,051.08 × 2,909.51
  4. Step 4: Simplify right side
    10,700.70x = 46,700,777.77
  5. Step 5: Solve for x
    x = 46,700,777.77/10,700.70
  6. Step 6: Final answer
    x = 4,364.27

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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.