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Finding the Fourth Proportional to 7,902.33, 10,905 and 4,365.47

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Solution

The fourth proportional to 7,902.33, 10,905 and 4,365.47 is: 6,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.33 : 10,905 = 4,365.47 : x
  2. Step 2: Convert to fraction form
    7,902.33/10,905 = 4,365.47/x
  3. Step 3: Cross multiply
    7,902.33x = 10,905 × 4,365.47
  4. Step 4: Simplify right side
    7,902.33x = 47,605,395.83
  5. Step 5: Solve for x
    x = 47,605,395.83/7,902.33
  6. Step 6: Final answer
    x = 6,024.22

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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.