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Finding the Fourth Proportional to 11,627.86, 16,054.05 and 8,478.58

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Solution

The fourth proportional to 11,627.86, 16,054.05 and 8,478.58 is: 11,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.86 : 16,054.05 = 8,478.58 : x
  2. Step 2: Convert to fraction form
    11,627.86/16,054.05 = 8,478.58/x
  3. Step 3: Cross multiply
    11,627.86x = 16,054.05 × 8,478.58
  4. Step 4: Simplify right side
    11,627.86x = 136,115,547.25
  5. Step 5: Solve for x
    x = 136,115,547.25/11,627.86
  6. Step 6: Final answer
    x = 11,705.98

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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.