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Finding the Fourth Proportional to 7,290.34, 10,911.20 and 5,280.74

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Solution

The fourth proportional to 7,290.34, 10,911.20 and 5,280.74 is: 7,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.34 : 10,911.20 = 5,280.74 : x
  2. Step 2: Convert to fraction form
    7,290.34/10,911.20 = 5,280.74/x
  3. Step 3: Cross multiply
    7,290.34x = 10,911.20 × 5,280.74
  4. Step 4: Simplify right side
    7,290.34x = 57,619,210.29
  5. Step 5: Solve for x
    x = 57,619,210.29/7,290.34
  6. Step 6: Final answer
    x = 7,903.50

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Why These Related Problems?

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