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Finding the Fourth Proportional to 11,487.42, 15,858.66 and 7,730.34

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Solution

The fourth proportional to 11,487.42, 15,858.66 and 7,730.34 is: 10,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.42 : 15,858.66 = 7,730.34 : x
  2. Step 2: Convert to fraction form
    11,487.42/15,858.66 = 7,730.34/x
  3. Step 3: Cross multiply
    11,487.42x = 15,858.66 × 7,730.34
  4. Step 4: Simplify right side
    11,487.42x = 122,592,833.74
  5. Step 5: Solve for x
    x = 122,592,833.74/11,487.42
  6. Step 6: Final answer
    x = 10,671.92

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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.