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Finding the Fourth Proportional to 6,156, 8,495.28 and 5,661.36

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Solution

The fourth proportional to 6,156, 8,495.28 and 5,661.36 is: 7,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156 : 8,495.28 = 5,661.36 : x
  2. Step 2: Convert to fraction form
    6,156/8,495.28 = 5,661.36/x
  3. Step 3: Cross multiply
    6,156x = 8,495.28 × 5,661.36
  4. Step 4: Simplify right side
    6,156x = 48,094,838.38
  5. Step 5: Solve for x
    x = 48,094,838.38/6,156
  6. Step 6: Final answer
    x = 7,812.68

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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.