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Finding the Fourth Proportional to 7,356.42, 10,153.22 and 4,374

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Solution

The fourth proportional to 7,356.42, 10,153.22 and 4,374 is: 6,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.42 : 10,153.22 = 4,374 : x
  2. Step 2: Convert to fraction form
    7,356.42/10,153.22 = 4,374/x
  3. Step 3: Cross multiply
    7,356.42x = 10,153.22 × 4,374
  4. Step 4: Simplify right side
    7,356.42x = 44,410,162.41
  5. Step 5: Solve for x
    x = 44,410,162.41/7,356.42
  6. Step 6: Final answer
    x = 6,036.93

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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.