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Finding the Fourth Proportional to 7,185.94, 9,916.56 and 4,042.12

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Solution

The fourth proportional to 7,185.94, 9,916.56 and 4,042.12 is: 5,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.94 : 9,916.56 = 4,042.12 : x
  2. Step 2: Convert to fraction form
    7,185.94/9,916.56 = 4,042.12/x
  3. Step 3: Cross multiply
    7,185.94x = 9,916.56 × 4,042.12
  4. Step 4: Simplify right side
    7,185.94x = 40,083,925.51
  5. Step 5: Solve for x
    x = 40,083,925.51/7,185.94
  6. Step 6: Final answer
    x = 5,578.10

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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.