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Finding the Fourth Proportional to 7,806.72, 10,774.01 and 4,270.45

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Solution

The fourth proportional to 7,806.72, 10,774.01 and 4,270.45 is: 5,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.72 : 10,774.01 = 4,270.45 : x
  2. Step 2: Convert to fraction form
    7,806.72/10,774.01 = 4,270.45/x
  3. Step 3: Cross multiply
    7,806.72x = 10,774.01 × 4,270.45
  4. Step 4: Simplify right side
    7,806.72x = 46,009,871.00
  5. Step 5: Solve for x
    x = 46,009,871.00/7,806.72
  6. Step 6: Final answer
    x = 5,893.62

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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.