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Finding the Fourth Proportional to 7,374.41, 10,186.43 and 5,464.11

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Solution

The fourth proportional to 7,374.41, 10,186.43 and 5,464.11 is: 7,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.41 : 10,186.43 = 5,464.11 : x
  2. Step 2: Convert to fraction form
    7,374.41/10,186.43 = 5,464.11/x
  3. Step 3: Cross multiply
    7,374.41x = 10,186.43 × 5,464.11
  4. Step 4: Simplify right side
    7,374.41x = 55,659,774.03
  5. Step 5: Solve for x
    x = 55,659,774.03/7,374.41
  6. Step 6: Final answer
    x = 7,547.69

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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.