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Finding the Fourth Proportional to 10,710.87, 14,778.63 and 6,730.53

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Solution

The fourth proportional to 10,710.87, 14,778.63 and 6,730.53 is: 9,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.87 : 14,778.63 = 6,730.53 : x
  2. Step 2: Convert to fraction form
    10,710.87/14,778.63 = 6,730.53/x
  3. Step 3: Cross multiply
    10,710.87x = 14,778.63 × 6,730.53
  4. Step 4: Simplify right side
    10,710.87x = 99,468,012.57
  5. Step 5: Solve for x
    x = 99,468,012.57/10,710.87
  6. Step 6: Final answer
    x = 9,286.64

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