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Finding the Fourth Proportional to 7,348.32, 11,022 and 5,715.36

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Solution

The fourth proportional to 7,348.32, 11,022 and 5,715.36 is: 8,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.32 : 11,022 = 5,715.36 : x
  2. Step 2: Convert to fraction form
    7,348.32/11,022 = 5,715.36/x
  3. Step 3: Cross multiply
    7,348.32x = 11,022 × 5,715.36
  4. Step 4: Simplify right side
    7,348.32x = 62,994,697.92
  5. Step 5: Solve for x
    x = 62,994,697.92/7,348.32
  6. Step 6: Final answer
    x = 8,572.67

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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.