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Finding the Fourth Proportional to 10,709.40, 14,779.28 and 5,993.84

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Solution

The fourth proportional to 10,709.40, 14,779.28 and 5,993.84 is: 8,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.40 : 14,779.28 = 5,993.84 : x
  2. Step 2: Convert to fraction form
    10,709.40/14,779.28 = 5,993.84/x
  3. Step 3: Cross multiply
    10,709.40x = 14,779.28 × 5,993.84
  4. Step 4: Simplify right side
    10,709.40x = 88,584,639.64
  5. Step 5: Solve for x
    x = 88,584,639.64/10,709.40
  6. Step 6: Final answer
    x = 8,271.67

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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.