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Finding the Fourth Proportional to 11,281.75, 15,569.55 and 6,313.75

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Solution

The fourth proportional to 11,281.75, 15,569.55 and 6,313.75 is: 8,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.75 : 15,569.55 = 6,313.75 : x
  2. Step 2: Convert to fraction form
    11,281.75/15,569.55 = 6,313.75/x
  3. Step 3: Cross multiply
    11,281.75x = 15,569.55 × 6,313.75
  4. Step 4: Simplify right side
    11,281.75x = 98,302,246.31
  5. Step 5: Solve for x
    x = 98,302,246.31/11,281.75
  6. Step 6: Final answer
    x = 8,713.39

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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.