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Finding the Fourth Proportional to 11,111, 15,317.34 and 7,569.68

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Solution

The fourth proportional to 11,111, 15,317.34 and 7,569.68 is: 10,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111 : 15,317.34 = 7,569.68 : x
  2. Step 2: Convert to fraction form
    11,111/15,317.34 = 7,569.68/x
  3. Step 3: Cross multiply
    11,111x = 15,317.34 × 7,569.68
  4. Step 4: Simplify right side
    11,111x = 115,947,362.25
  5. Step 5: Solve for x
    x = 115,947,362.25/11,111
  6. Step 6: Final answer
    x = 10,435.37

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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.