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Finding the Fourth Proportional to 7,674.06, 10,587.17 and 4,840.38

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Solution

The fourth proportional to 7,674.06, 10,587.17 and 4,840.38 is: 6,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.06 : 10,587.17 = 4,840.38 : x
  2. Step 2: Convert to fraction form
    7,674.06/10,587.17 = 4,840.38/x
  3. Step 3: Cross multiply
    7,674.06x = 10,587.17 × 4,840.38
  4. Step 4: Simplify right side
    7,674.06x = 51,245,925.92
  5. Step 5: Solve for x
    x = 51,245,925.92/7,674.06
  6. Step 6: Final answer
    x = 6,677.81

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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.