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Finding the Fourth Proportional to 10,710.68, 14,808.96 and 9,380.57

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Solution

The fourth proportional to 10,710.68, 14,808.96 and 9,380.57 is: 12,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.68 : 14,808.96 = 9,380.57 : x
  2. Step 2: Convert to fraction form
    10,710.68/14,808.96 = 9,380.57/x
  3. Step 3: Cross multiply
    10,710.68x = 14,808.96 × 9,380.57
  4. Step 4: Simplify right side
    10,710.68x = 138,916,544.62
  5. Step 5: Solve for x
    x = 138,916,544.62/10,710.68
  6. Step 6: Final answer
    x = 12,969.91

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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.