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Finding the Fourth Proportional to 8,235.12, 11,360.49 and 7,916.88

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Solution

The fourth proportional to 8,235.12, 11,360.49 and 7,916.88 is: 10,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.12 : 11,360.49 = 7,916.88 : x
  2. Step 2: Convert to fraction form
    8,235.12/11,360.49 = 7,916.88/x
  3. Step 3: Cross multiply
    8,235.12x = 11,360.49 × 7,916.88
  4. Step 4: Simplify right side
    8,235.12x = 89,939,636.07
  5. Step 5: Solve for x
    x = 89,939,636.07/8,235.12
  6. Step 6: Final answer
    x = 10,921.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.