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Finding the Fourth Proportional to 7,435.88, 10,261.08 and 4,078.10

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Solution

The fourth proportional to 7,435.88, 10,261.08 and 4,078.10 is: 5,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.88 : 10,261.08 = 4,078.10 : x
  2. Step 2: Convert to fraction form
    7,435.88/10,261.08 = 4,078.10/x
  3. Step 3: Cross multiply
    7,435.88x = 10,261.08 × 4,078.10
  4. Step 4: Simplify right side
    7,435.88x = 41,845,710.35
  5. Step 5: Solve for x
    x = 41,845,710.35/7,435.88
  6. Step 6: Final answer
    x = 5,627.54

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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.