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Finding the Fourth Proportional to 10,146.93, 14,002.72 and 5,670.68

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Solution

The fourth proportional to 10,146.93, 14,002.72 and 5,670.68 is: 7,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.93 : 14,002.72 = 5,670.68 : x
  2. Step 2: Convert to fraction form
    10,146.93/14,002.72 = 5,670.68/x
  3. Step 3: Cross multiply
    10,146.93x = 14,002.72 × 5,670.68
  4. Step 4: Simplify right side
    10,146.93x = 79,404,874.24
  5. Step 5: Solve for x
    x = 79,404,874.24/10,146.93
  6. Step 6: Final answer
    x = 7,825.51

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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.