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Finding the Fourth Proportional to 10,551.84, 14,561.09 and 6,075.76

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Solution

The fourth proportional to 10,551.84, 14,561.09 and 6,075.76 is: 8,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.84 : 14,561.09 = 6,075.76 : x
  2. Step 2: Convert to fraction form
    10,551.84/14,561.09 = 6,075.76/x
  3. Step 3: Cross multiply
    10,551.84x = 14,561.09 × 6,075.76
  4. Step 4: Simplify right side
    10,551.84x = 88,469,688.18
  5. Step 5: Solve for x
    x = 88,469,688.18/10,551.84
  6. Step 6: Final answer
    x = 8,384.29

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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.