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Finding the Fourth Proportional to 10,602.70, 15,904.34 and 2,811.50

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Solution

The fourth proportional to 10,602.70, 15,904.34 and 2,811.50 is: 4,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.70 : 15,904.34 = 2,811.50 : x
  2. Step 2: Convert to fraction form
    10,602.70/15,904.34 = 2,811.50/x
  3. Step 3: Cross multiply
    10,602.70x = 15,904.34 × 2,811.50
  4. Step 4: Simplify right side
    10,602.70x = 44,715,051.91
  5. Step 5: Solve for x
    x = 44,715,051.91/10,602.70
  6. Step 6: Final answer
    x = 4,217.33

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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.