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Finding the Fourth Proportional to 7,165.68, 10,748.80 and 1,972

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Solution

The fourth proportional to 7,165.68, 10,748.80 and 1,972 is: 2,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.68 : 10,748.80 = 1,972 : x
  2. Step 2: Convert to fraction form
    7,165.68/10,748.80 = 1,972/x
  3. Step 3: Cross multiply
    7,165.68x = 10,748.80 × 1,972
  4. Step 4: Simplify right side
    7,165.68x = 21,196,633.60
  5. Step 5: Solve for x
    x = 21,196,633.60/7,165.68
  6. Step 6: Final answer
    x = 2,958.08

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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.