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Finding the Fourth Proportional to 7,634.90, 10,533.74 and 4,277.18

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Solution

The fourth proportional to 7,634.90, 10,533.74 and 4,277.18 is: 5,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.90 : 10,533.74 = 4,277.18 : x
  2. Step 2: Convert to fraction form
    7,634.90/10,533.74 = 4,277.18/x
  3. Step 3: Cross multiply
    7,634.90x = 10,533.74 × 4,277.18
  4. Step 4: Simplify right side
    7,634.90x = 45,054,628.00
  5. Step 5: Solve for x
    x = 45,054,628.00/7,634.90
  6. Step 6: Final answer
    x = 5,901.15

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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.