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Finding the Fourth Proportional to 8,699.40, 13,051.26 and 4,077

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Solution

The fourth proportional to 8,699.40, 13,051.26 and 4,077 is: 6,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.40 : 13,051.26 = 4,077 : x
  2. Step 2: Convert to fraction form
    8,699.40/13,051.26 = 4,077/x
  3. Step 3: Cross multiply
    8,699.40x = 13,051.26 × 4,077
  4. Step 4: Simplify right side
    8,699.40x = 53,209,987.02
  5. Step 5: Solve for x
    x = 53,209,987.02/8,699.40
  6. Step 6: Final answer
    x = 6,116.51

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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.