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Finding the Fourth Proportional to 7,637, 10,539.70 and 4,280.60

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Solution

The fourth proportional to 7,637, 10,539.70 and 4,280.60 is: 5,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637 : 10,539.70 = 4,280.60 : x
  2. Step 2: Convert to fraction form
    7,637/10,539.70 = 4,280.60/x
  3. Step 3: Cross multiply
    7,637x = 10,539.70 × 4,280.60
  4. Step 4: Simplify right side
    7,637x = 45,116,239.82
  5. Step 5: Solve for x
    x = 45,116,239.82/7,637
  6. Step 6: Final answer
    x = 5,907.59

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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.