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Finding the Fourth Proportional to 7,750.16, 11,638.20 and 7,689.68

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Solution

The fourth proportional to 7,750.16, 11,638.20 and 7,689.68 is: 11,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.16 : 11,638.20 = 7,689.68 : x
  2. Step 2: Convert to fraction form
    7,750.16/11,638.20 = 7,689.68/x
  3. Step 3: Cross multiply
    7,750.16x = 11,638.20 × 7,689.68
  4. Step 4: Simplify right side
    7,750.16x = 89,494,033.78
  5. Step 5: Solve for x
    x = 89,494,033.78/7,750.16
  6. Step 6: Final answer
    x = 11,547.38

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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.