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Finding the Fourth Proportional to 7,038.70, 10,551.57 and 3,342.67

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Solution

The fourth proportional to 7,038.70, 10,551.57 and 3,342.67 is: 5,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.70 : 10,551.57 = 3,342.67 : x
  2. Step 2: Convert to fraction form
    7,038.70/10,551.57 = 3,342.67/x
  3. Step 3: Cross multiply
    7,038.70x = 10,551.57 × 3,342.67
  4. Step 4: Simplify right side
    7,038.70x = 35,270,416.49
  5. Step 5: Solve for x
    x = 35,270,416.49/7,038.70
  6. Step 6: Final answer
    x = 5,010.93

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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.