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Finding the Fourth Proportional to 8,263, 11,403.12 and 4,537

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Solution

The fourth proportional to 8,263, 11,403.12 and 4,537 is: 6,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263 : 11,403.12 = 4,537 : x
  2. Step 2: Convert to fraction form
    8,263/11,403.12 = 4,537/x
  3. Step 3: Cross multiply
    8,263x = 11,403.12 × 4,537
  4. Step 4: Simplify right side
    8,263x = 51,735,955.44
  5. Step 5: Solve for x
    x = 51,735,955.44/8,263
  6. Step 6: Final answer
    x = 6,261.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.