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Finding the Fourth Proportional to 7,696.16, 11,535.72 and 6,315.56

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Solution

The fourth proportional to 7,696.16, 11,535.72 and 6,315.56 is: 9,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.16 : 11,535.72 = 6,315.56 : x
  2. Step 2: Convert to fraction form
    7,696.16/11,535.72 = 6,315.56/x
  3. Step 3: Cross multiply
    7,696.16x = 11,535.72 × 6,315.56
  4. Step 4: Simplify right side
    7,696.16x = 72,854,531.80
  5. Step 5: Solve for x
    x = 72,854,531.80/7,696.16
  6. Step 6: Final answer
    x = 9,466.35

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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.