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Finding the Fourth Proportional to 7,154.56, 10,734 and 4,823.92

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Solution

The fourth proportional to 7,154.56, 10,734 and 4,823.92 is: 7,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.56 : 10,734 = 4,823.92 : x
  2. Step 2: Convert to fraction form
    7,154.56/10,734 = 4,823.92/x
  3. Step 3: Cross multiply
    7,154.56x = 10,734 × 4,823.92
  4. Step 4: Simplify right side
    7,154.56x = 51,779,957.28
  5. Step 5: Solve for x
    x = 51,779,957.28/7,154.56
  6. Step 6: Final answer
    x = 7,237.34

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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.