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Finding the Fourth Proportional to 11,570.28, 17,339.02 and 8,457.46

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Solution

The fourth proportional to 11,570.28, 17,339.02 and 8,457.46 is: 12,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.28 : 17,339.02 = 8,457.46 : x
  2. Step 2: Convert to fraction form
    11,570.28/17,339.02 = 8,457.46/x
  3. Step 3: Cross multiply
    11,570.28x = 17,339.02 × 8,457.46
  4. Step 4: Simplify right side
    11,570.28x = 146,644,068.09
  5. Step 5: Solve for x
    x = 146,644,068.09/11,570.28
  6. Step 6: Final answer
    x = 12,674.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.