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Finding the Fourth Proportional to 10,159.58, 14,021.72 and 6,179.93

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Solution

The fourth proportional to 10,159.58, 14,021.72 and 6,179.93 is: 8,529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.58 : 14,021.72 = 6,179.93 : x
  2. Step 2: Convert to fraction form
    10,159.58/14,021.72 = 6,179.93/x
  3. Step 3: Cross multiply
    10,159.58x = 14,021.72 × 6,179.93
  4. Step 4: Simplify right side
    10,159.58x = 86,653,147.07
  5. Step 5: Solve for x
    x = 86,653,147.07/10,159.58
  6. Step 6: Final answer
    x = 8,529.20

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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.