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Finding the Fourth Proportional to 7,585.38, 10,464.74 and 4,596.03

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Solution

The fourth proportional to 7,585.38, 10,464.74 and 4,596.03 is: 6,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.38 : 10,464.74 = 4,596.03 : x
  2. Step 2: Convert to fraction form
    7,585.38/10,464.74 = 4,596.03/x
  3. Step 3: Cross multiply
    7,585.38x = 10,464.74 × 4,596.03
  4. Step 4: Simplify right side
    7,585.38x = 48,096,258.98
  5. Step 5: Solve for x
    x = 48,096,258.98/7,585.38
  6. Step 6: Final answer
    x = 6,340.65

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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.