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Finding the Fourth Proportional to 10,411.90, 14,368.30 and 5,696.13

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Solution

The fourth proportional to 10,411.90, 14,368.30 and 5,696.13 is: 7,860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.90 : 14,368.30 = 5,696.13 : x
  2. Step 2: Convert to fraction form
    10,411.90/14,368.30 = 5,696.13/x
  3. Step 3: Cross multiply
    10,411.90x = 14,368.30 × 5,696.13
  4. Step 4: Simplify right side
    10,411.90x = 81,843,704.68
  5. Step 5: Solve for x
    x = 81,843,704.68/10,411.90
  6. Step 6: Final answer
    x = 7,860.59

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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.