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Finding the Fourth Proportional to 7,637.31, 10,539.87 and 4,652.64

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Solution

The fourth proportional to 7,637.31, 10,539.87 and 4,652.64 is: 6,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.31 : 10,539.87 = 4,652.64 : x
  2. Step 2: Convert to fraction form
    7,637.31/10,539.87 = 4,652.64/x
  3. Step 3: Cross multiply
    7,637.31x = 10,539.87 × 4,652.64
  4. Step 4: Simplify right side
    7,637.31x = 49,038,220.76
  5. Step 5: Solve for x
    x = 49,038,220.76/7,637.31
  6. Step 6: Final answer
    x = 6,420.88

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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.