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Finding the Fourth Proportional to 10,190.16, 14,070.72 and 8,302.02

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Solution

The fourth proportional to 10,190.16, 14,070.72 and 8,302.02 is: 11,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.16 : 14,070.72 = 8,302.02 : x
  2. Step 2: Convert to fraction form
    10,190.16/14,070.72 = 8,302.02/x
  3. Step 3: Cross multiply
    10,190.16x = 14,070.72 × 8,302.02
  4. Step 4: Simplify right side
    10,190.16x = 116,815,398.85
  5. Step 5: Solve for x
    x = 116,815,398.85/10,190.16
  6. Step 6: Final answer
    x = 11,463.55

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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.