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Finding the Fourth Proportional to 7,366.64, 10,166.04 and 4,009.50

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Solution

The fourth proportional to 7,366.64, 10,166.04 and 4,009.50 is: 5,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.64 : 10,166.04 = 4,009.50 : x
  2. Step 2: Convert to fraction form
    7,366.64/10,166.04 = 4,009.50/x
  3. Step 3: Cross multiply
    7,366.64x = 10,166.04 × 4,009.50
  4. Step 4: Simplify right side
    7,366.64x = 40,760,737.38
  5. Step 5: Solve for x
    x = 40,760,737.38/7,366.64
  6. Step 6: Final answer
    x = 5,533.16

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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.