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Finding the Fourth Proportional to 10,457.74, 14,426.97 and 6,208.98

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Solution

The fourth proportional to 10,457.74, 14,426.97 and 6,208.98 is: 8,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.74 : 14,426.97 = 6,208.98 : x
  2. Step 2: Convert to fraction form
    10,457.74/14,426.97 = 6,208.98/x
  3. Step 3: Cross multiply
    10,457.74x = 14,426.97 × 6,208.98
  4. Step 4: Simplify right side
    10,457.74x = 89,576,768.19
  5. Step 5: Solve for x
    x = 89,576,768.19/10,457.74
  6. Step 6: Final answer
    x = 8,565.60

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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.