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Finding the Fourth Proportional to 7,880.04, 11,821.14 and 3,497.40

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Solution

The fourth proportional to 7,880.04, 11,821.14 and 3,497.40 is: 5,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.04 : 11,821.14 = 3,497.40 : x
  2. Step 2: Convert to fraction form
    7,880.04/11,821.14 = 3,497.40/x
  3. Step 3: Cross multiply
    7,880.04x = 11,821.14 × 3,497.40
  4. Step 4: Simplify right side
    7,880.04x = 41,343,255.04
  5. Step 5: Solve for x
    x = 41,343,255.04/7,880.04
  6. Step 6: Final answer
    x = 5,246.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.