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Finding the Fourth Proportional to 7,827.60, 10,802.40 and 4,290.60

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Solution

The fourth proportional to 7,827.60, 10,802.40 and 4,290.60 is: 5,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.60 : 10,802.40 = 4,290.60 : x
  2. Step 2: Convert to fraction form
    7,827.60/10,802.40 = 4,290.60/x
  3. Step 3: Cross multiply
    7,827.60x = 10,802.40 × 4,290.60
  4. Step 4: Simplify right side
    7,827.60x = 46,348,777.44
  5. Step 5: Solve for x
    x = 46,348,777.44/7,827.60
  6. Step 6: Final answer
    x = 5,921.20

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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.