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Finding the Fourth Proportional to 10,159.56, 14,027.58 and 7,647.48

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Solution

The fourth proportional to 10,159.56, 14,027.58 and 7,647.48 is: 10,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.56 : 14,027.58 = 7,647.48 : x
  2. Step 2: Convert to fraction form
    10,159.56/14,027.58 = 7,647.48/x
  3. Step 3: Cross multiply
    10,159.56x = 14,027.58 × 7,647.48
  4. Step 4: Simplify right side
    10,159.56x = 107,275,637.50
  5. Step 5: Solve for x
    x = 107,275,637.50/10,159.56
  6. Step 6: Final answer
    x = 10,559.08

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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.