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Finding the Fourth Proportional to 11,877.85, 16,386.41 and 6,840.86

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Solution

The fourth proportional to 11,877.85, 16,386.41 and 6,840.86 is: 9,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.85 : 16,386.41 = 6,840.86 : x
  2. Step 2: Convert to fraction form
    11,877.85/16,386.41 = 6,840.86/x
  3. Step 3: Cross multiply
    11,877.85x = 16,386.41 × 6,840.86
  4. Step 4: Simplify right side
    11,877.85x = 112,097,102.51
  5. Step 5: Solve for x
    x = 112,097,102.51/11,877.85
  6. Step 6: Final answer
    x = 9,437.49

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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.