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Finding the Fourth Proportional to 7,901.42, 10,901.09 and 6,084.99

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Solution

The fourth proportional to 7,901.42, 10,901.09 and 6,084.99 is: 8,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.42 : 10,901.09 = 6,084.99 : x
  2. Step 2: Convert to fraction form
    7,901.42/10,901.09 = 6,084.99/x
  3. Step 3: Cross multiply
    7,901.42x = 10,901.09 × 6,084.99
  4. Step 4: Simplify right side
    7,901.42x = 66,333,038.85
  5. Step 5: Solve for x
    x = 66,333,038.85/7,901.42
  6. Step 6: Final answer
    x = 8,395.08

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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.