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Finding the Fourth Proportional to 11,290.84, 15,577.78 and 6,574.24

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Solution

The fourth proportional to 11,290.84, 15,577.78 and 6,574.24 is: 9,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.84 : 15,577.78 = 6,574.24 : x
  2. Step 2: Convert to fraction form
    11,290.84/15,577.78 = 6,574.24/x
  3. Step 3: Cross multiply
    11,290.84x = 15,577.78 × 6,574.24
  4. Step 4: Simplify right side
    11,290.84x = 102,412,064.39
  5. Step 5: Solve for x
    x = 102,412,064.39/11,290.84
  6. Step 6: Final answer
    x = 9,070.37

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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.