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Finding the Fourth Proportional to 7,256.68, 10,851.76 and 5,409.08

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Solution

The fourth proportional to 7,256.68, 10,851.76 and 5,409.08 is: 8,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.68 : 10,851.76 = 5,409.08 : x
  2. Step 2: Convert to fraction form
    7,256.68/10,851.76 = 5,409.08/x
  3. Step 3: Cross multiply
    7,256.68x = 10,851.76 × 5,409.08
  4. Step 4: Simplify right side
    7,256.68x = 58,698,037.98
  5. Step 5: Solve for x
    x = 58,698,037.98/7,256.68
  6. Step 6: Final answer
    x = 8,088.83

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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.