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Finding the Fourth Proportional to 7,509.38, 10,363.55 and 4,366.17

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Solution

The fourth proportional to 7,509.38, 10,363.55 and 4,366.17 is: 6,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.38 : 10,363.55 = 4,366.17 : x
  2. Step 2: Convert to fraction form
    7,509.38/10,363.55 = 4,366.17/x
  3. Step 3: Cross multiply
    7,509.38x = 10,363.55 × 4,366.17
  4. Step 4: Simplify right side
    7,509.38x = 45,248,999.27
  5. Step 5: Solve for x
    x = 45,248,999.27/7,509.38
  6. Step 6: Final answer
    x = 6,025.67

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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.