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Finding the Fourth Proportional to 7,237.68, 10,865.36 and 4,774.56

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Solution

The fourth proportional to 7,237.68, 10,865.36 and 4,774.56 is: 7,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.68 : 10,865.36 = 4,774.56 : x
  2. Step 2: Convert to fraction form
    7,237.68/10,865.36 = 4,774.56/x
  3. Step 3: Cross multiply
    7,237.68x = 10,865.36 × 4,774.56
  4. Step 4: Simplify right side
    7,237.68x = 51,877,313.24
  5. Step 5: Solve for x
    x = 51,877,313.24/7,237.68
  6. Step 6: Final answer
    x = 7,167.67

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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.