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Finding the Fourth Proportional to 11,259.36, 15,538 and 6,783.30

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Solution

The fourth proportional to 11,259.36, 15,538 and 6,783.30 is: 9,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.36 : 15,538 = 6,783.30 : x
  2. Step 2: Convert to fraction form
    11,259.36/15,538 = 6,783.30/x
  3. Step 3: Cross multiply
    11,259.36x = 15,538 × 6,783.30
  4. Step 4: Simplify right side
    11,259.36x = 105,398,915.40
  5. Step 5: Solve for x
    x = 105,398,915.40/11,259.36
  6. Step 6: Final answer
    x = 9,361.00

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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.