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Finding the Fourth Proportional to 12,089.34, 16,683.75 and 6,783.93

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Solution

The fourth proportional to 12,089.34, 16,683.75 and 6,783.93 is: 9,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.34 : 16,683.75 = 6,783.93 : x
  2. Step 2: Convert to fraction form
    12,089.34/16,683.75 = 6,783.93/x
  3. Step 3: Cross multiply
    12,089.34x = 16,683.75 × 6,783.93
  4. Step 4: Simplify right side
    12,089.34x = 113,181,392.14
  5. Step 5: Solve for x
    x = 113,181,392.14/12,089.34
  6. Step 6: Final answer
    x = 9,362.08

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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.