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Finding the Fourth Proportional to 10,923.84, 15,075 and 5,955.84

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Solution

The fourth proportional to 10,923.84, 15,075 and 5,955.84 is: 8,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.84 : 15,075 = 5,955.84 : x
  2. Step 2: Convert to fraction form
    10,923.84/15,075 = 5,955.84/x
  3. Step 3: Cross multiply
    10,923.84x = 15,075 × 5,955.84
  4. Step 4: Simplify right side
    10,923.84x = 89,784,288
  5. Step 5: Solve for x
    x = 89,784,288/10,923.84
  6. Step 6: Final answer
    x = 8,219.11

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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.