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Finding the Fourth Proportional to 7,356.84, 10,150.38 and 6,987.48

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Solution

The fourth proportional to 7,356.84, 10,150.38 and 6,987.48 is: 9,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.84 : 10,150.38 = 6,987.48 : x
  2. Step 2: Convert to fraction form
    7,356.84/10,150.38 = 6,987.48/x
  3. Step 3: Cross multiply
    7,356.84x = 10,150.38 × 6,987.48
  4. Step 4: Simplify right side
    7,356.84x = 70,925,577.24
  5. Step 5: Solve for x
    x = 70,925,577.24/7,356.84
  6. Step 6: Final answer
    x = 9,640.77

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Why These Related Problems?

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