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Finding the Fourth Proportional to 7,787.16, 10,746.72 and 7,262.28

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Solution

The fourth proportional to 7,787.16, 10,746.72 and 7,262.28 is: 10,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.16 : 10,746.72 = 7,262.28 : x
  2. Step 2: Convert to fraction form
    7,787.16/10,746.72 = 7,262.28/x
  3. Step 3: Cross multiply
    7,787.16x = 10,746.72 × 7,262.28
  4. Step 4: Simplify right side
    7,787.16x = 78,045,689.72
  5. Step 5: Solve for x
    x = 78,045,689.72/7,787.16
  6. Step 6: Final answer
    x = 10,022.36

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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.