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Finding the Fourth Proportional to 7,809.12, 10,776.42 and 4,272.12

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Solution

The fourth proportional to 7,809.12, 10,776.42 and 4,272.12 is: 5,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.12 : 10,776.42 = 4,272.12 : x
  2. Step 2: Convert to fraction form
    7,809.12/10,776.42 = 4,272.12/x
  3. Step 3: Cross multiply
    7,809.12x = 10,776.42 × 4,272.12
  4. Step 4: Simplify right side
    7,809.12x = 46,038,159.41
  5. Step 5: Solve for x
    x = 46,038,159.41/7,809.12
  6. Step 6: Final answer
    x = 5,895.44

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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.