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Finding the Fourth Proportional to 11,671.86, 16,094.40 and 7,888.47

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Solution

The fourth proportional to 11,671.86, 16,094.40 and 7,888.47 is: 10,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.86 : 16,094.40 = 7,888.47 : x
  2. Step 2: Convert to fraction form
    11,671.86/16,094.40 = 7,888.47/x
  3. Step 3: Cross multiply
    11,671.86x = 16,094.40 × 7,888.47
  4. Step 4: Simplify right side
    11,671.86x = 126,960,071.65
  5. Step 5: Solve for x
    x = 126,960,071.65/11,671.86
  6. Step 6: Final answer
    x = 10,877.45

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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.