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Finding the Fourth Proportional to 7,505.84, 11,258.44 and 2,508.40

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Solution

The fourth proportional to 7,505.84, 11,258.44 and 2,508.40 is: 3,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.84 : 11,258.44 = 2,508.40 : x
  2. Step 2: Convert to fraction form
    7,505.84/11,258.44 = 2,508.40/x
  3. Step 3: Cross multiply
    7,505.84x = 11,258.44 × 2,508.40
  4. Step 4: Simplify right side
    7,505.84x = 28,240,670.90
  5. Step 5: Solve for x
    x = 28,240,670.90/7,505.84
  6. Step 6: Final answer
    x = 3,762.49

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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.