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Finding the Fourth Proportional to 11,430.69, 15,779.74 and 8,599.14

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Solution

The fourth proportional to 11,430.69, 15,779.74 and 8,599.14 is: 11,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.69 : 15,779.74 = 8,599.14 : x
  2. Step 2: Convert to fraction form
    11,430.69/15,779.74 = 8,599.14/x
  3. Step 3: Cross multiply
    11,430.69x = 15,779.74 × 8,599.14
  4. Step 4: Simplify right side
    11,430.69x = 135,692,163.33
  5. Step 5: Solve for x
    x = 135,692,163.33/11,430.69
  6. Step 6: Final answer
    x = 11,870.87

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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.