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Finding the Fourth Proportional to 10,924.44, 15,075.83 and 6,208.76

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Solution

The fourth proportional to 10,924.44, 15,075.83 and 6,208.76 is: 8,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.44 : 15,075.83 = 6,208.76 : x
  2. Step 2: Convert to fraction form
    10,924.44/15,075.83 = 6,208.76/x
  3. Step 3: Cross multiply
    10,924.44x = 15,075.83 × 6,208.76
  4. Step 4: Simplify right side
    10,924.44x = 93,602,150.41
  5. Step 5: Solve for x
    x = 93,602,150.41/10,924.44
  6. Step 6: Final answer
    x = 8,568.14

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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.