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Finding the Fourth Proportional to 11,783.40, 17,670.44 and 4,762.09

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Solution

The fourth proportional to 11,783.40, 17,670.44 and 4,762.09 is: 7,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.40 : 17,670.44 = 4,762.09 : x
  2. Step 2: Convert to fraction form
    11,783.40/17,670.44 = 4,762.09/x
  3. Step 3: Cross multiply
    11,783.40x = 17,670.44 × 4,762.09
  4. Step 4: Simplify right side
    11,783.40x = 84,148,225.62
  5. Step 5: Solve for x
    x = 84,148,225.62/11,783.40
  6. Step 6: Final answer
    x = 7,141.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.