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Finding the Fourth Proportional to 7,437.70, 10,264.16 and 4,080.30

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Solution

The fourth proportional to 7,437.70, 10,264.16 and 4,080.30 is: 5,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.70 : 10,264.16 = 4,080.30 : x
  2. Step 2: Convert to fraction form
    7,437.70/10,264.16 = 4,080.30/x
  3. Step 3: Cross multiply
    7,437.70x = 10,264.16 × 4,080.30
  4. Step 4: Simplify right side
    7,437.70x = 41,880,852.05
  5. Step 5: Solve for x
    x = 41,880,852.05/7,437.70
  6. Step 6: Final answer
    x = 5,630.89

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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.