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Finding the Fourth Proportional to 11,686.95, 16,128.06 and 6,381.90

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Solution

The fourth proportional to 11,686.95, 16,128.06 and 6,381.90 is: 8,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.95 : 16,128.06 = 6,381.90 : x
  2. Step 2: Convert to fraction form
    11,686.95/16,128.06 = 6,381.90/x
  3. Step 3: Cross multiply
    11,686.95x = 16,128.06 × 6,381.90
  4. Step 4: Simplify right side
    11,686.95x = 102,927,666.11
  5. Step 5: Solve for x
    x = 102,927,666.11/11,686.95
  6. Step 6: Final answer
    x = 8,807.06

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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.