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Finding the Fourth Proportional to 7,547.77, 10,415.43 and 4,190.58

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Solution

The fourth proportional to 7,547.77, 10,415.43 and 4,190.58 is: 5,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.77 : 10,415.43 = 4,190.58 : x
  2. Step 2: Convert to fraction form
    7,547.77/10,415.43 = 4,190.58/x
  3. Step 3: Cross multiply
    7,547.77x = 10,415.43 × 4,190.58
  4. Step 4: Simplify right side
    7,547.77x = 43,646,692.65
  5. Step 5: Solve for x
    x = 43,646,692.65/7,547.77
  6. Step 6: Final answer
    x = 5,782.73

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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.