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Finding the Fourth Proportional to 11,102.16, 15,320.52 and 6,133.84

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Solution

The fourth proportional to 11,102.16, 15,320.52 and 6,133.84 is: 8,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.16 : 15,320.52 = 6,133.84 : x
  2. Step 2: Convert to fraction form
    11,102.16/15,320.52 = 6,133.84/x
  3. Step 3: Cross multiply
    11,102.16x = 15,320.52 × 6,133.84
  4. Step 4: Simplify right side
    11,102.16x = 93,973,618.40
  5. Step 5: Solve for x
    x = 93,973,618.40/11,102.16
  6. Step 6: Final answer
    x = 8,464.44

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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.