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Finding the Fourth Proportional to 11,563.93, 17,345.22 and 3,130.30

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Solution

The fourth proportional to 11,563.93, 17,345.22 and 3,130.30 is: 4,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.93 : 17,345.22 = 3,130.30 : x
  2. Step 2: Convert to fraction form
    11,563.93/17,345.22 = 3,130.30/x
  3. Step 3: Cross multiply
    11,563.93x = 17,345.22 × 3,130.30
  4. Step 4: Simplify right side
    11,563.93x = 54,295,742.17
  5. Step 5: Solve for x
    x = 54,295,742.17/11,563.93
  6. Step 6: Final answer
    x = 4,695.27

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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.