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Finding the Fourth Proportional to 10,588.80, 15,881.97 and 2,798.22

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Solution

The fourth proportional to 10,588.80, 15,881.97 and 2,798.22 is: 4,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.80 : 15,881.97 = 2,798.22 : x
  2. Step 2: Convert to fraction form
    10,588.80/15,881.97 = 2,798.22/x
  3. Step 3: Cross multiply
    10,588.80x = 15,881.97 × 2,798.22
  4. Step 4: Simplify right side
    10,588.80x = 44,441,246.09
  5. Step 5: Solve for x
    x = 44,441,246.09/10,588.80
  6. Step 6: Final answer
    x = 4,197.00

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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.