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Finding the Fourth Proportional to 7,251.76, 10,877.64 and 1,779.76

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Solution

The fourth proportional to 7,251.76, 10,877.64 and 1,779.76 is: 2,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.76 : 10,877.64 = 1,779.76 : x
  2. Step 2: Convert to fraction form
    7,251.76/10,877.64 = 1,779.76/x
  3. Step 3: Cross multiply
    7,251.76x = 10,877.64 × 1,779.76
  4. Step 4: Simplify right side
    7,251.76x = 19,359,588.57
  5. Step 5: Solve for x
    x = 19,359,588.57/7,251.76
  6. Step 6: Final answer
    x = 2,669.64

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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.