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Finding the Fourth Proportional to 7,384.58, 10,182.42 and 6,036

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Solution

The fourth proportional to 7,384.58, 10,182.42 and 6,036 is: 8,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.58 : 10,182.42 = 6,036 : x
  2. Step 2: Convert to fraction form
    7,384.58/10,182.42 = 6,036/x
  3. Step 3: Cross multiply
    7,384.58x = 10,182.42 × 6,036
  4. Step 4: Simplify right side
    7,384.58x = 61,461,087.12
  5. Step 5: Solve for x
    x = 61,461,087.12/7,384.58
  6. Step 6: Final answer
    x = 8,322.90

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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.