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Finding the Fourth Proportional to 10,198.12, 14,065.47 and 7,376.08

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Solution

The fourth proportional to 10,198.12, 14,065.47 and 7,376.08 is: 10,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.12 : 14,065.47 = 7,376.08 : x
  2. Step 2: Convert to fraction form
    10,198.12/14,065.47 = 7,376.08/x
  3. Step 3: Cross multiply
    10,198.12x = 14,065.47 × 7,376.08
  4. Step 4: Simplify right side
    10,198.12x = 103,748,031.96
  5. Step 5: Solve for x
    x = 103,748,031.96/10,198.12
  6. Step 6: Final answer
    x = 10,173.25

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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.