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Finding the Fourth Proportional to 11,117.64, 15,335.64 and 7,340.82

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Solution

The fourth proportional to 11,117.64, 15,335.64 and 7,340.82 is: 10,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.64 : 15,335.64 = 7,340.82 : x
  2. Step 2: Convert to fraction form
    11,117.64/15,335.64 = 7,340.82/x
  3. Step 3: Cross multiply
    11,117.64x = 15,335.64 × 7,340.82
  4. Step 4: Simplify right side
    11,117.64x = 112,576,172.82
  5. Step 5: Solve for x
    x = 112,576,172.82/11,117.64
  6. Step 6: Final answer
    x = 10,125.91

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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.