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Finding the Fourth Proportional to 11,643.18, 16,058.18 and 7,158.93

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Solution

The fourth proportional to 11,643.18, 16,058.18 and 7,158.93 is: 9,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.18 : 16,058.18 = 7,158.93 : x
  2. Step 2: Convert to fraction form
    11,643.18/16,058.18 = 7,158.93/x
  3. Step 3: Cross multiply
    11,643.18x = 16,058.18 × 7,158.93
  4. Step 4: Simplify right side
    11,643.18x = 114,959,350.75
  5. Step 5: Solve for x
    x = 114,959,350.75/11,643.18
  6. Step 6: Final answer
    x = 9,873.54

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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.