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Finding the Fourth Proportional to 10,374.88, 14,317.74 and 5,659.36

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Solution

The fourth proportional to 10,374.88, 14,317.74 and 5,659.36 is: 7,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.88 : 14,317.74 = 5,659.36 : x
  2. Step 2: Convert to fraction form
    10,374.88/14,317.74 = 5,659.36/x
  3. Step 3: Cross multiply
    10,374.88x = 14,317.74 × 5,659.36
  4. Step 4: Simplify right side
    10,374.88x = 81,029,245.05
  5. Step 5: Solve for x
    x = 81,029,245.05/10,374.88
  6. Step 6: Final answer
    x = 7,810.14

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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.