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Finding the Fourth Proportional to 10,810.84, 16,245.42 and 9,456.52

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Solution

The fourth proportional to 10,810.84, 16,245.42 and 9,456.52 is: 14,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.84 : 16,245.42 = 9,456.52 : x
  2. Step 2: Convert to fraction form
    10,810.84/16,245.42 = 9,456.52/x
  3. Step 3: Cross multiply
    10,810.84x = 16,245.42 × 9,456.52
  4. Step 4: Simplify right side
    10,810.84x = 153,625,139.14
  5. Step 5: Solve for x
    x = 153,625,139.14/10,810.84
  6. Step 6: Final answer
    x = 14,210.29

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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.