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Finding the Fourth Proportional to 11,617.95, 16,023.51 and 7,643.16

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Solution

The fourth proportional to 11,617.95, 16,023.51 and 7,643.16 is: 10,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.95 : 16,023.51 = 7,643.16 : x
  2. Step 2: Convert to fraction form
    11,617.95/16,023.51 = 7,643.16/x
  3. Step 3: Cross multiply
    11,617.95x = 16,023.51 × 7,643.16
  4. Step 4: Simplify right side
    11,617.95x = 122,470,250.69
  5. Step 5: Solve for x
    x = 122,470,250.69/11,617.95
  6. Step 6: Final answer
    x = 10,541.47

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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.