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Finding the Fourth Proportional to 10,833.75, 14,950.71 and 6,357.60

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Solution

The fourth proportional to 10,833.75, 14,950.71 and 6,357.60 is: 8,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.75 : 14,950.71 = 6,357.60 : x
  2. Step 2: Convert to fraction form
    10,833.75/14,950.71 = 6,357.60/x
  3. Step 3: Cross multiply
    10,833.75x = 14,950.71 × 6,357.60
  4. Step 4: Simplify right side
    10,833.75x = 95,050,633.90
  5. Step 5: Solve for x
    x = 95,050,633.90/10,833.75
  6. Step 6: Final answer
    x = 8,773.57

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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.