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Finding the Fourth Proportional to 7,645.59, 11,470.82 and 4,874.67

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Solution

The fourth proportional to 7,645.59, 11,470.82 and 4,874.67 is: 7,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.59 : 11,470.82 = 4,874.67 : x
  2. Step 2: Convert to fraction form
    7,645.59/11,470.82 = 4,874.67/x
  3. Step 3: Cross multiply
    7,645.59x = 11,470.82 × 4,874.67
  4. Step 4: Simplify right side
    7,645.59x = 55,916,437.76
  5. Step 5: Solve for x
    x = 55,916,437.76/7,645.59
  6. Step 6: Final answer
    x = 7,313.55

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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.