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Finding the Fourth Proportional to 10,709.82, 14,779.53 and 5,994

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Solution

The fourth proportional to 10,709.82, 14,779.53 and 5,994 is: 8,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.82 : 14,779.53 = 5,994 : x
  2. Step 2: Convert to fraction form
    10,709.82/14,779.53 = 5,994/x
  3. Step 3: Cross multiply
    10,709.82x = 14,779.53 × 5,994
  4. Step 4: Simplify right side
    10,709.82x = 88,588,502.82
  5. Step 5: Solve for x
    x = 88,588,502.82/10,709.82
  6. Step 6: Final answer
    x = 8,271.71

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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.