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Finding the Fourth Proportional to 7,510, 10,362.04 and 4,364.40

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Solution

The fourth proportional to 7,510, 10,362.04 and 4,364.40 is: 6,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510 : 10,362.04 = 4,364.40 : x
  2. Step 2: Convert to fraction form
    7,510/10,362.04 = 4,364.40/x
  3. Step 3: Cross multiply
    7,510x = 10,362.04 × 4,364.40
  4. Step 4: Simplify right side
    7,510x = 45,224,087.38
  5. Step 5: Solve for x
    x = 45,224,087.38/7,510
  6. Step 6: Final answer
    x = 6,021.85

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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.