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Finding the Fourth Proportional to 7,827.05, 10,801.01 and 4,290.19

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Solution

The fourth proportional to 7,827.05, 10,801.01 and 4,290.19 is: 5,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.05 : 10,801.01 = 4,290.19 : x
  2. Step 2: Convert to fraction form
    7,827.05/10,801.01 = 4,290.19/x
  3. Step 3: Cross multiply
    7,827.05x = 10,801.01 × 4,290.19
  4. Step 4: Simplify right side
    7,827.05x = 46,338,368.81
  5. Step 5: Solve for x
    x = 46,338,368.81/7,827.05
  6. Step 6: Final answer
    x = 5,920.28

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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.