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Finding the Fourth Proportional to 7,097.42, 10,646.52 and 2,167.40

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Solution

The fourth proportional to 7,097.42, 10,646.52 and 2,167.40 is: 3,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.42 : 10,646.52 = 2,167.40 : x
  2. Step 2: Convert to fraction form
    7,097.42/10,646.52 = 2,167.40/x
  3. Step 3: Cross multiply
    7,097.42x = 10,646.52 × 2,167.40
  4. Step 4: Simplify right side
    7,097.42x = 23,075,267.45
  5. Step 5: Solve for x
    x = 23,075,267.45/7,097.42
  6. Step 6: Final answer
    x = 3,251.22

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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.