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Finding the Fourth Proportional to 7,637.96, 11,430.74 and 5,300.61

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Solution

The fourth proportional to 7,637.96, 11,430.74 and 5,300.61 is: 7,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.96 : 11,430.74 = 5,300.61 : x
  2. Step 2: Convert to fraction form
    7,637.96/11,430.74 = 5,300.61/x
  3. Step 3: Cross multiply
    7,637.96x = 11,430.74 × 5,300.61
  4. Step 4: Simplify right side
    7,637.96x = 60,589,908.00
  5. Step 5: Solve for x
    x = 60,589,908.00/7,637.96
  6. Step 6: Final answer
    x = 7,932.74

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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.