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Finding the Fourth Proportional to 10,146.62, 14,000.46 and 5,670.20

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Solution

The fourth proportional to 10,146.62, 14,000.46 and 5,670.20 is: 7,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.62 : 14,000.46 = 5,670.20 : x
  2. Step 2: Convert to fraction form
    10,146.62/14,000.46 = 5,670.20/x
  3. Step 3: Cross multiply
    10,146.62x = 14,000.46 × 5,670.20
  4. Step 4: Simplify right side
    10,146.62x = 79,385,408.29
  5. Step 5: Solve for x
    x = 79,385,408.29/10,146.62
  6. Step 6: Final answer
    x = 7,823.83

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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.