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Finding the Fourth Proportional to 7,427.98, 10,250.46 and 4,070.64

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Solution

The fourth proportional to 7,427.98, 10,250.46 and 4,070.64 is: 5,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.98 : 10,250.46 = 4,070.64 : x
  2. Step 2: Convert to fraction form
    7,427.98/10,250.46 = 4,070.64/x
  3. Step 3: Cross multiply
    7,427.98x = 10,250.46 × 4,070.64
  4. Step 4: Simplify right side
    7,427.98x = 41,725,932.49
  5. Step 5: Solve for x
    x = 41,725,932.49/7,427.98
  6. Step 6: Final answer
    x = 5,617.40

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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.