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Finding the Fourth Proportional to 10,642.41, 14,685.95 and 5,861.42

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Solution

The fourth proportional to 10,642.41, 14,685.95 and 5,861.42 is: 8,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.41 : 14,685.95 = 5,861.42 : x
  2. Step 2: Convert to fraction form
    10,642.41/14,685.95 = 5,861.42/x
  3. Step 3: Cross multiply
    10,642.41x = 14,685.95 × 5,861.42
  4. Step 4: Simplify right side
    10,642.41x = 86,080,572.42
  5. Step 5: Solve for x
    x = 86,080,572.42/10,642.41
  6. Step 6: Final answer
    x = 8,088.45

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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.