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Finding the Fourth Proportional to 7,574.58, 11,365.32 and 3,415.68

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Solution

The fourth proportional to 7,574.58, 11,365.32 and 3,415.68 is: 5,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.58 : 11,365.32 = 3,415.68 : x
  2. Step 2: Convert to fraction form
    7,574.58/11,365.32 = 3,415.68/x
  3. Step 3: Cross multiply
    7,574.58x = 11,365.32 × 3,415.68
  4. Step 4: Simplify right side
    7,574.58x = 38,820,296.22
  5. Step 5: Solve for x
    x = 38,820,296.22/7,574.58
  6. Step 6: Final answer
    x = 5,125.08

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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.