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Finding the Fourth Proportional to 10,302.93, 14,219.82 and 5,828.07

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Solution

The fourth proportional to 10,302.93, 14,219.82 and 5,828.07 is: 8,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.93 : 14,219.82 = 5,828.07 : x
  2. Step 2: Convert to fraction form
    10,302.93/14,219.82 = 5,828.07/x
  3. Step 3: Cross multiply
    10,302.93x = 14,219.82 × 5,828.07
  4. Step 4: Simplify right side
    10,302.93x = 82,874,106.35
  5. Step 5: Solve for x
    x = 82,874,106.35/10,302.93
  6. Step 6: Final answer
    x = 8,043.74

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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.