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Finding the Fourth Proportional to 11,359.76, 15,684.12 and 7,112.48

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Solution

The fourth proportional to 11,359.76, 15,684.12 and 7,112.48 is: 9,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.76 : 15,684.12 = 7,112.48 : x
  2. Step 2: Convert to fraction form
    11,359.76/15,684.12 = 7,112.48/x
  3. Step 3: Cross multiply
    11,359.76x = 15,684.12 × 7,112.48
  4. Step 4: Simplify right side
    11,359.76x = 111,552,989.82
  5. Step 5: Solve for x
    x = 111,552,989.82/11,359.76
  6. Step 6: Final answer
    x = 9,820.01

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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.