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Finding the Fourth Proportional to 7,096.95, 10,646.91 and 2,416.59

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Solution

The fourth proportional to 7,096.95, 10,646.91 and 2,416.59 is: 3,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.95 : 10,646.91 = 2,416.59 : x
  2. Step 2: Convert to fraction form
    7,096.95/10,646.91 = 2,416.59/x
  3. Step 3: Cross multiply
    7,096.95x = 10,646.91 × 2,416.59
  4. Step 4: Simplify right side
    7,096.95x = 25,729,216.24
  5. Step 5: Solve for x
    x = 25,729,216.24/7,096.95
  6. Step 6: Final answer
    x = 3,625.39

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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.