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Finding the Fourth Proportional to 7,827.54, 10,802.00 and 4,290.74

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Solution

The fourth proportional to 7,827.54, 10,802.00 and 4,290.74 is: 5,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.54 : 10,802.00 = 4,290.74 : x
  2. Step 2: Convert to fraction form
    7,827.54/10,802.00 = 4,290.74/x
  3. Step 3: Cross multiply
    7,827.54x = 10,802.00 × 4,290.74
  4. Step 4: Simplify right side
    7,827.54x = 46,348,611.21
  5. Step 5: Solve for x
    x = 46,348,611.21/7,827.54
  6. Step 6: Final answer
    x = 5,921.22

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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.