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Finding the Fourth Proportional to 7,823.51, 11,727.05 and 3,660

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Solution

The fourth proportional to 7,823.51, 11,727.05 and 3,660 is: 5,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.51 : 11,727.05 = 3,660 : x
  2. Step 2: Convert to fraction form
    7,823.51/11,727.05 = 3,660/x
  3. Step 3: Cross multiply
    7,823.51x = 11,727.05 × 3,660
  4. Step 4: Simplify right side
    7,823.51x = 42,920,984.70
  5. Step 5: Solve for x
    x = 42,920,984.70/7,823.51
  6. Step 6: Final answer
    x = 5,486.16

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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.