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Finding the Fourth Proportional to 13,045.86, 18,002.79 and 7,077.32

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Solution

The fourth proportional to 13,045.86, 18,002.79 and 7,077.32 is: 9,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.86 : 18,002.79 = 7,077.32 : x
  2. Step 2: Convert to fraction form
    13,045.86/18,002.79 = 7,077.32/x
  3. Step 3: Cross multiply
    13,045.86x = 18,002.79 × 7,077.32
  4. Step 4: Simplify right side
    13,045.86x = 127,411,505.72
  5. Step 5: Solve for x
    x = 127,411,505.72/13,045.86
  6. Step 6: Final answer
    x = 9,766.43

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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.