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Finding the Fourth Proportional to 7,539.49, 11,264.60 and 7,281.10

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Solution

The fourth proportional to 7,539.49, 11,264.60 and 7,281.10 is: 10,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.49 : 11,264.60 = 7,281.10 : x
  2. Step 2: Convert to fraction form
    7,539.49/11,264.60 = 7,281.10/x
  3. Step 3: Cross multiply
    7,539.49x = 11,264.60 × 7,281.10
  4. Step 4: Simplify right side
    7,539.49x = 82,018,679.06
  5. Step 5: Solve for x
    x = 82,018,679.06/7,539.49
  6. Step 6: Final answer
    x = 10,878.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.