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Finding the Fourth Proportional to 10,605.84, 15,909.06 and 2,814.66

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Solution

The fourth proportional to 10,605.84, 15,909.06 and 2,814.66 is: 4,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.84 : 15,909.06 = 2,814.66 : x
  2. Step 2: Convert to fraction form
    10,605.84/15,909.06 = 2,814.66/x
  3. Step 3: Cross multiply
    10,605.84x = 15,909.06 × 2,814.66
  4. Step 4: Simplify right side
    10,605.84x = 44,778,594.82
  5. Step 5: Solve for x
    x = 44,778,594.82/10,605.84
  6. Step 6: Final answer
    x = 4,222.07

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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.