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Finding the Fourth Proportional to 7,448.42, 11,116.06 and 7,147.04

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Solution

The fourth proportional to 7,448.42, 11,116.06 and 7,147.04 is: 10,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.42 : 11,116.06 = 7,147.04 : x
  2. Step 2: Convert to fraction form
    7,448.42/11,116.06 = 7,147.04/x
  3. Step 3: Cross multiply
    7,448.42x = 11,116.06 × 7,147.04
  4. Step 4: Simplify right side
    7,448.42x = 79,446,852.01
  5. Step 5: Solve for x
    x = 79,446,852.01/7,448.42
  6. Step 6: Final answer
    x = 10,666.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.