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Finding the Fourth Proportional to 7,732.26, 11,598.48 and 1,888.92

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Solution

The fourth proportional to 7,732.26, 11,598.48 and 1,888.92 is: 2,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.26 : 11,598.48 = 1,888.92 : x
  2. Step 2: Convert to fraction form
    7,732.26/11,598.48 = 1,888.92/x
  3. Step 3: Cross multiply
    7,732.26x = 11,598.48 × 1,888.92
  4. Step 4: Simplify right side
    7,732.26x = 21,908,600.84
  5. Step 5: Solve for x
    x = 21,908,600.84/7,732.26
  6. Step 6: Final answer
    x = 2,833.40

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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.