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Finding the Fourth Proportional to 7,809.30, 10,776.86 and 4,272.50

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Solution

The fourth proportional to 7,809.30, 10,776.86 and 4,272.50 is: 5,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.30 : 10,776.86 = 4,272.50 : x
  2. Step 2: Convert to fraction form
    7,809.30/10,776.86 = 4,272.50/x
  3. Step 3: Cross multiply
    7,809.30x = 10,776.86 × 4,272.50
  4. Step 4: Simplify right side
    7,809.30x = 46,044,134.35
  5. Step 5: Solve for x
    x = 46,044,134.35/7,809.30
  6. Step 6: Final answer
    x = 5,896.06

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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.