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Finding the Fourth Proportional to 7,102.55, 9,801.56 and 4,120.16

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Solution

The fourth proportional to 7,102.55, 9,801.56 and 4,120.16 is: 5,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.55 : 9,801.56 = 4,120.16 : x
  2. Step 2: Convert to fraction form
    7,102.55/9,801.56 = 4,120.16/x
  3. Step 3: Cross multiply
    7,102.55x = 9,801.56 × 4,120.16
  4. Step 4: Simplify right side
    7,102.55x = 40,383,925.84
  5. Step 5: Solve for x
    x = 40,383,925.84/7,102.55
  6. Step 6: Final answer
    x = 5,685.84

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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.