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Finding the Fourth Proportional to 10,482.94, 14,466.43 and 5,767.19

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Solution

The fourth proportional to 10,482.94, 14,466.43 and 5,767.19 is: 7,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.94 : 14,466.43 = 5,767.19 : x
  2. Step 2: Convert to fraction form
    10,482.94/14,466.43 = 5,767.19/x
  3. Step 3: Cross multiply
    10,482.94x = 14,466.43 × 5,767.19
  4. Step 4: Simplify right side
    10,482.94x = 83,430,650.43
  5. Step 5: Solve for x
    x = 83,430,650.43/10,482.94
  6. Step 6: Final answer
    x = 7,958.71

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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.