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Finding the Fourth Proportional to 10,821.48, 14,934.02 and 6,348.52

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Solution

The fourth proportional to 10,821.48, 14,934.02 and 6,348.52 is: 8,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.48 : 14,934.02 = 6,348.52 : x
  2. Step 2: Convert to fraction form
    10,821.48/14,934.02 = 6,348.52/x
  3. Step 3: Cross multiply
    10,821.48x = 14,934.02 × 6,348.52
  4. Step 4: Simplify right side
    10,821.48x = 94,808,924.65
  5. Step 5: Solve for x
    x = 94,808,924.65/10,821.48
  6. Step 6: Final answer
    x = 8,761.18

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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.