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Finding the Fourth Proportional to 11,477, 15,834.19 and 7,500.42

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Solution

The fourth proportional to 11,477, 15,834.19 and 7,500.42 is: 10,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477 : 15,834.19 = 7,500.42 : x
  2. Step 2: Convert to fraction form
    11,477/15,834.19 = 7,500.42/x
  3. Step 3: Cross multiply
    11,477x = 15,834.19 × 7,500.42
  4. Step 4: Simplify right side
    11,477x = 118,763,075.36
  5. Step 5: Solve for x
    x = 118,763,075.36/11,477
  6. Step 6: Final answer
    x = 10,347.92

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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.