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Finding the Fourth Proportional to 7,204.90, 10,802.10 and 4,859.08

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Solution

The fourth proportional to 7,204.90, 10,802.10 and 4,859.08 is: 7,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.90 : 10,802.10 = 4,859.08 : x
  2. Step 2: Convert to fraction form
    7,204.90/10,802.10 = 4,859.08/x
  3. Step 3: Cross multiply
    7,204.90x = 10,802.10 × 4,859.08
  4. Step 4: Simplify right side
    7,204.90x = 52,488,268.07
  5. Step 5: Solve for x
    x = 52,488,268.07/7,204.90
  6. Step 6: Final answer
    x = 7,285.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.