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Finding the Fourth Proportional to 7,774.01, 11,664.46 and 4,075.36

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Solution

The fourth proportional to 7,774.01, 11,664.46 and 4,075.36 is: 6,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.01 : 11,664.46 = 4,075.36 : x
  2. Step 2: Convert to fraction form
    7,774.01/11,664.46 = 4,075.36/x
  3. Step 3: Cross multiply
    7,774.01x = 11,664.46 × 4,075.36
  4. Step 4: Simplify right side
    7,774.01x = 47,536,873.71
  5. Step 5: Solve for x
    x = 47,536,873.71/7,774.01
  6. Step 6: Final answer
    x = 6,114.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.