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Finding the Fourth Proportional to 13,088.50, 18,061.99 and 7,783.20

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Solution

The fourth proportional to 13,088.50, 18,061.99 and 7,783.20 is: 10,740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088.50 : 18,061.99 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    13,088.50/18,061.99 = 7,783.20/x
  3. Step 3: Cross multiply
    13,088.50x = 18,061.99 × 7,783.20
  4. Step 4: Simplify right side
    13,088.50x = 140,580,080.57
  5. Step 5: Solve for x
    x = 140,580,080.57/13,088.50
  6. Step 6: Final answer
    x = 10,740.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.