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Finding the Fourth Proportional to 7,966.84, 10,962.32 and 6,703.24

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Solution

The fourth proportional to 7,966.84, 10,962.32 and 6,703.24 is: 9,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.84 : 10,962.32 = 6,703.24 : x
  2. Step 2: Convert to fraction form
    7,966.84/10,962.32 = 6,703.24/x
  3. Step 3: Cross multiply
    7,966.84x = 10,962.32 × 6,703.24
  4. Step 4: Simplify right side
    7,966.84x = 73,483,061.92
  5. Step 5: Solve for x
    x = 73,483,061.92/7,966.84
  6. Step 6: Final answer
    x = 9,223.61

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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.