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Finding the Fourth Proportional to 7,547.81, 11,366.91 and 6,874.45

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Solution

The fourth proportional to 7,547.81, 11,366.91 and 6,874.45 is: 10,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.81 : 11,366.91 = 6,874.45 : x
  2. Step 2: Convert to fraction form
    7,547.81/11,366.91 = 6,874.45/x
  3. Step 3: Cross multiply
    7,547.81x = 11,366.91 × 6,874.45
  4. Step 4: Simplify right side
    7,547.81x = 78,141,226.03
  5. Step 5: Solve for x
    x = 78,141,226.03/7,547.81
  6. Step 6: Final answer
    x = 10,352.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.