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Finding the Fourth Proportional to 6,905.16, 10,358 and 1,908.04

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Solution

The fourth proportional to 6,905.16, 10,358 and 1,908.04 is: 2,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.16 : 10,358 = 1,908.04 : x
  2. Step 2: Convert to fraction form
    6,905.16/10,358 = 1,908.04/x
  3. Step 3: Cross multiply
    6,905.16x = 10,358 × 1,908.04
  4. Step 4: Simplify right side
    6,905.16x = 19,763,478.32
  5. Step 5: Solve for x
    x = 19,763,478.32/6,905.16
  6. Step 6: Final answer
    x = 2,862.13

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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.