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Finding the Fourth Proportional to 10,709.85, 14,778.70 and 6,402.84

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Solution

The fourth proportional to 10,709.85, 14,778.70 and 6,402.84 is: 8,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.85 : 14,778.70 = 6,402.84 : x
  2. Step 2: Convert to fraction form
    10,709.85/14,778.70 = 6,402.84/x
  3. Step 3: Cross multiply
    10,709.85x = 14,778.70 × 6,402.84
  4. Step 4: Simplify right side
    10,709.85x = 94,625,651.51
  5. Step 5: Solve for x
    x = 94,625,651.51/10,709.85
  6. Step 6: Final answer
    x = 8,835.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.