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Finding the Fourth Proportional to 7,619.69, 10,514.16 and 4,970.67

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Solution

The fourth proportional to 7,619.69, 10,514.16 and 4,970.67 is: 6,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,619.69 : 10,514.16 = 4,970.67 : x
  2. Step 2: Convert to fraction form
    7,619.69/10,514.16 = 4,970.67/x
  3. Step 3: Cross multiply
    7,619.69x = 10,514.16 × 4,970.67
  4. Step 4: Simplify right side
    7,619.69x = 52,262,419.69
  5. Step 5: Solve for x
    x = 52,262,419.69/7,619.69
  6. Step 6: Final answer
    x = 6,858.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.