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Finding the Fourth Proportional to 7,750.50, 11,637.59 and 6,833.79

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Solution

The fourth proportional to 7,750.50, 11,637.59 and 6,833.79 is: 10,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.50 : 11,637.59 = 6,833.79 : x
  2. Step 2: Convert to fraction form
    7,750.50/11,637.59 = 6,833.79/x
  3. Step 3: Cross multiply
    7,750.50x = 11,637.59 × 6,833.79
  4. Step 4: Simplify right side
    7,750.50x = 79,528,812.00
  5. Step 5: Solve for x
    x = 79,528,812.00/7,750.50
  6. Step 6: Final answer
    x = 10,261.12

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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.