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Finding the Fourth Proportional to 11,242.96, 16,869.84 and 6,048.16

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Solution

The fourth proportional to 11,242.96, 16,869.84 and 6,048.16 is: 9,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.96 : 16,869.84 = 6,048.16 : x
  2. Step 2: Convert to fraction form
    11,242.96/16,869.84 = 6,048.16/x
  3. Step 3: Cross multiply
    11,242.96x = 16,869.84 × 6,048.16
  4. Step 4: Simplify right side
    11,242.96x = 102,031,491.49
  5. Step 5: Solve for x
    x = 102,031,491.49/11,242.96
  6. Step 6: Final answer
    x = 9,075.14

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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.