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Finding the Fourth Proportional to 10,827.51, 14,948.85 and 8,842.80

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Solution

The fourth proportional to 10,827.51, 14,948.85 and 8,842.80 is: 12,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.51 : 14,948.85 = 8,842.80 : x
  2. Step 2: Convert to fraction form
    10,827.51/14,948.85 = 8,842.80/x
  3. Step 3: Cross multiply
    10,827.51x = 14,948.85 × 8,842.80
  4. Step 4: Simplify right side
    10,827.51x = 132,189,690.78
  5. Step 5: Solve for x
    x = 132,189,690.78/10,827.51
  6. Step 6: Final answer
    x = 12,208.69

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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.