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Finding the Fourth Proportional to 7,261.81, 10,024.37 and 4,907.14

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Solution

The fourth proportional to 7,261.81, 10,024.37 and 4,907.14 is: 6,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.81 : 10,024.37 = 4,907.14 : x
  2. Step 2: Convert to fraction form
    7,261.81/10,024.37 = 4,907.14/x
  3. Step 3: Cross multiply
    7,261.81x = 10,024.37 × 4,907.14
  4. Step 4: Simplify right side
    7,261.81x = 49,190,962.47
  5. Step 5: Solve for x
    x = 49,190,962.47/7,261.81
  6. Step 6: Final answer
    x = 6,773.93

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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.