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Finding the Fourth Proportional to 11,363.60, 15,672.87 and 7,386

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Solution

The fourth proportional to 11,363.60, 15,672.87 and 7,386 is: 10,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.60 : 15,672.87 = 7,386 : x
  2. Step 2: Convert to fraction form
    11,363.60/15,672.87 = 7,386/x
  3. Step 3: Cross multiply
    11,363.60x = 15,672.87 × 7,386
  4. Step 4: Simplify right side
    11,363.60x = 115,759,817.82
  5. Step 5: Solve for x
    x = 115,759,817.82/11,363.60
  6. Step 6: Final answer
    x = 10,186.90

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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.