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Finding the Fourth Proportional to 7,547.42, 10,415.50 and 4,190.10

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Solution

The fourth proportional to 7,547.42, 10,415.50 and 4,190.10 is: 5,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.42 : 10,415.50 = 4,190.10 : x
  2. Step 2: Convert to fraction form
    7,547.42/10,415.50 = 4,190.10/x
  3. Step 3: Cross multiply
    7,547.42x = 10,415.50 × 4,190.10
  4. Step 4: Simplify right side
    7,547.42x = 43,641,976.07
  5. Step 5: Solve for x
    x = 43,641,976.07/7,547.42
  6. Step 6: Final answer
    x = 5,782.37

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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.