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Finding the Fourth Proportional to 7,724.79, 10,662.12 and 5,075.79

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Solution

The fourth proportional to 7,724.79, 10,662.12 and 5,075.79 is: 7,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.79 : 10,662.12 = 5,075.79 : x
  2. Step 2: Convert to fraction form
    7,724.79/10,662.12 = 5,075.79/x
  3. Step 3: Cross multiply
    7,724.79x = 10,662.12 × 5,075.79
  4. Step 4: Simplify right side
    7,724.79x = 54,118,628.76
  5. Step 5: Solve for x
    x = 54,118,628.76/7,724.79
  6. Step 6: Final answer
    x = 7,005.84

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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.