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Finding the Fourth Proportional to 8,547.45, 11,794.19 and 5,189.64

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Solution

The fourth proportional to 8,547.45, 11,794.19 and 5,189.64 is: 7,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.45 : 11,794.19 = 5,189.64 : x
  2. Step 2: Convert to fraction form
    8,547.45/11,794.19 = 5,189.64/x
  3. Step 3: Cross multiply
    8,547.45x = 11,794.19 × 5,189.64
  4. Step 4: Simplify right side
    8,547.45x = 61,207,574.24
  5. Step 5: Solve for x
    x = 61,207,574.24/8,547.45
  6. Step 6: Final answer
    x = 7,160.92

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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.