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Finding the Fourth Proportional to 7,054.54, 9,732.48 and 4,929.52

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Solution

The fourth proportional to 7,054.54, 9,732.48 and 4,929.52 is: 6,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.54 : 9,732.48 = 4,929.52 : x
  2. Step 2: Convert to fraction form
    7,054.54/9,732.48 = 4,929.52/x
  3. Step 3: Cross multiply
    7,054.54x = 9,732.48 × 4,929.52
  4. Step 4: Simplify right side
    7,054.54x = 47,976,454.81
  5. Step 5: Solve for x
    x = 47,976,454.81/7,054.54
  6. Step 6: Final answer
    x = 6,800.79

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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.