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Finding the Fourth Proportional to 7,167, 10,746.54 and 4,826.88

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Solution

The fourth proportional to 7,167, 10,746.54 and 4,826.88 is: 7,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167 : 10,746.54 = 4,826.88 : x
  2. Step 2: Convert to fraction form
    7,167/10,746.54 = 4,826.88/x
  3. Step 3: Cross multiply
    7,167x = 10,746.54 × 4,826.88
  4. Step 4: Simplify right side
    7,167x = 51,872,259.00
  5. Step 5: Solve for x
    x = 51,872,259.00/7,167
  6. Step 6: Final answer
    x = 7,237.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.