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Finding the Fourth Proportional to 7,827.98, 10,802.55 and 4,291.18

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Solution

The fourth proportional to 7,827.98, 10,802.55 and 4,291.18 is: 5,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.98 : 10,802.55 = 4,291.18 : x
  2. Step 2: Convert to fraction form
    7,827.98/10,802.55 = 4,291.18/x
  3. Step 3: Cross multiply
    7,827.98x = 10,802.55 × 4,291.18
  4. Step 4: Simplify right side
    7,827.98x = 46,355,686.51
  5. Step 5: Solve for x
    x = 46,355,686.51/7,827.98
  6. Step 6: Final answer
    x = 5,921.79

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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.