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Finding the Fourth Proportional to 7,547.54, 10,415.41 and 4,190.24

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Solution

The fourth proportional to 7,547.54, 10,415.41 and 4,190.24 is: 5,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.54 : 10,415.41 = 4,190.24 : x
  2. Step 2: Convert to fraction form
    7,547.54/10,415.41 = 4,190.24/x
  3. Step 3: Cross multiply
    7,547.54x = 10,415.41 × 4,190.24
  4. Step 4: Simplify right side
    7,547.54x = 43,643,083.16
  5. Step 5: Solve for x
    x = 43,643,083.16/7,547.54
  6. Step 6: Final answer
    x = 5,782.43

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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.