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Finding the Fourth Proportional to 10,411.58, 14,368.17 and 5,696.16

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Solution

The fourth proportional to 10,411.58, 14,368.17 and 5,696.16 is: 7,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.58 : 14,368.17 = 5,696.16 : x
  2. Step 2: Convert to fraction form
    10,411.58/14,368.17 = 5,696.16/x
  3. Step 3: Cross multiply
    10,411.58x = 14,368.17 × 5,696.16
  4. Step 4: Simplify right side
    10,411.58x = 81,843,395.23
  5. Step 5: Solve for x
    x = 81,843,395.23/10,411.58
  6. Step 6: Final answer
    x = 7,860.81

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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.