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Finding the Fourth Proportional to 11,679.86, 16,124.08 and 7,435.18

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Solution

The fourth proportional to 11,679.86, 16,124.08 and 7,435.18 is: 10,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.86 : 16,124.08 = 7,435.18 : x
  2. Step 2: Convert to fraction form
    11,679.86/16,124.08 = 7,435.18/x
  3. Step 3: Cross multiply
    11,679.86x = 16,124.08 × 7,435.18
  4. Step 4: Simplify right side
    11,679.86x = 119,885,437.13
  5. Step 5: Solve for x
    x = 119,885,437.13/11,679.86
  6. Step 6: Final answer
    x = 10,264.29

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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.