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Finding the Fourth Proportional to 10,315.31, 14,235.41 and 6,066.65

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Solution

The fourth proportional to 10,315.31, 14,235.41 and 6,066.65 is: 8,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.31 : 14,235.41 = 6,066.65 : x
  2. Step 2: Convert to fraction form
    10,315.31/14,235.41 = 6,066.65/x
  3. Step 3: Cross multiply
    10,315.31x = 14,235.41 × 6,066.65
  4. Step 4: Simplify right side
    10,315.31x = 86,361,300.83
  5. Step 5: Solve for x
    x = 86,361,300.83/10,315.31
  6. Step 6: Final answer
    x = 8,372.15

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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.