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Finding the Fourth Proportional to 8,457.12, 11,674.43 and 5,272.02

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Solution

The fourth proportional to 8,457.12, 11,674.43 and 5,272.02 is: 7,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.12 : 11,674.43 = 5,272.02 : x
  2. Step 2: Convert to fraction form
    8,457.12/11,674.43 = 5,272.02/x
  3. Step 3: Cross multiply
    8,457.12x = 11,674.43 × 5,272.02
  4. Step 4: Simplify right side
    8,457.12x = 61,547,821.86
  5. Step 5: Solve for x
    x = 61,547,821.86/8,457.12
  6. Step 6: Final answer
    x = 7,277.63

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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.