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Finding the Fourth Proportional to 7,358.40, 11,007.21 and 6,709.59

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Solution

The fourth proportional to 7,358.40, 11,007.21 and 6,709.59 is: 10,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.40 : 11,007.21 = 6,709.59 : x
  2. Step 2: Convert to fraction form
    7,358.40/11,007.21 = 6,709.59/x
  3. Step 3: Cross multiply
    7,358.40x = 11,007.21 × 6,709.59
  4. Step 4: Simplify right side
    7,358.40x = 73,853,866.14
  5. Step 5: Solve for x
    x = 73,853,866.14/7,358.40
  6. Step 6: Final answer
    x = 10,036.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.