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Finding the Fourth Proportional to 10,194.01, 14,052.98 and 7,159.91

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Solution

The fourth proportional to 10,194.01, 14,052.98 and 7,159.91 is: 9,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.01 : 14,052.98 = 7,159.91 : x
  2. Step 2: Convert to fraction form
    10,194.01/14,052.98 = 7,159.91/x
  3. Step 3: Cross multiply
    10,194.01x = 14,052.98 × 7,159.91
  4. Step 4: Simplify right side
    10,194.01x = 100,618,125.06
  5. Step 5: Solve for x
    x = 100,618,125.06/10,194.01
  6. Step 6: Final answer
    x = 9,870.32

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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.