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Finding the Fourth Proportional to 7,585.70, 11,378.54 and 2,113.70

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Solution

The fourth proportional to 7,585.70, 11,378.54 and 2,113.70 is: 3,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.70 : 11,378.54 = 2,113.70 : x
  2. Step 2: Convert to fraction form
    7,585.70/11,378.54 = 2,113.70/x
  3. Step 3: Cross multiply
    7,585.70x = 11,378.54 × 2,113.70
  4. Step 4: Simplify right side
    7,585.70x = 24,050,752.54
  5. Step 5: Solve for x
    x = 24,050,752.54/7,585.70
  6. Step 6: Final answer
    x = 3,170.54

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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.