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Finding the Fourth Proportional to 7,097.42, 10,646.59 and 2,416.13

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Solution

The fourth proportional to 7,097.42, 10,646.59 and 2,416.13 is: 3,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.42 : 10,646.59 = 2,416.13 : x
  2. Step 2: Convert to fraction form
    7,097.42/10,646.59 = 2,416.13/x
  3. Step 3: Cross multiply
    7,097.42x = 10,646.59 × 2,416.13
  4. Step 4: Simplify right side
    7,097.42x = 25,723,530.68
  5. Step 5: Solve for x
    x = 25,723,530.68/7,097.42
  6. Step 6: Final answer
    x = 3,624.35

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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.