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Finding the Fourth Proportional to 7,825.66, 11,730.58 and 4,906.01

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Solution

The fourth proportional to 7,825.66, 11,730.58 and 4,906.01 is: 7,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.66 : 11,730.58 = 4,906.01 : x
  2. Step 2: Convert to fraction form
    7,825.66/11,730.58 = 4,906.01/x
  3. Step 3: Cross multiply
    7,825.66x = 11,730.58 × 4,906.01
  4. Step 4: Simplify right side
    7,825.66x = 57,550,342.79
  5. Step 5: Solve for x
    x = 57,550,342.79/7,825.66
  6. Step 6: Final answer
    x = 7,354.06

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