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Finding the Fourth Proportional to 11,258.84, 15,537.80 and 6,783.96

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Solution

The fourth proportional to 11,258.84, 15,537.80 and 6,783.96 is: 9,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.84 : 15,537.80 = 6,783.96 : x
  2. Step 2: Convert to fraction form
    11,258.84/15,537.80 = 6,783.96/x
  3. Step 3: Cross multiply
    11,258.84x = 15,537.80 × 6,783.96
  4. Step 4: Simplify right side
    11,258.84x = 105,407,813.69
  5. Step 5: Solve for x
    x = 105,407,813.69/11,258.84
  6. Step 6: Final answer
    x = 9,362.23

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