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Finding the Fourth Proportional to 10,709.61, 14,779.12 and 5,993.89

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Solution

The fourth proportional to 10,709.61, 14,779.12 and 5,993.89 is: 8,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.61 : 14,779.12 = 5,993.89 : x
  2. Step 2: Convert to fraction form
    10,709.61/14,779.12 = 5,993.89/x
  3. Step 3: Cross multiply
    10,709.61x = 14,779.12 × 5,993.89
  4. Step 4: Simplify right side
    10,709.61x = 88,584,419.58
  5. Step 5: Solve for x
    x = 88,584,419.58/10,709.61
  6. Step 6: Final answer
    x = 8,271.49

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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.