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Finding the Fourth Proportional to 10,470.16, 15,706.01 and 3,896.35

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Solution

The fourth proportional to 10,470.16, 15,706.01 and 3,896.35 is: 5,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.16 : 15,706.01 = 3,896.35 : x
  2. Step 2: Convert to fraction form
    10,470.16/15,706.01 = 3,896.35/x
  3. Step 3: Cross multiply
    10,470.16x = 15,706.01 × 3,896.35
  4. Step 4: Simplify right side
    10,470.16x = 61,196,053.32
  5. Step 5: Solve for x
    x = 61,196,053.32/10,470.16
  6. Step 6: Final answer
    x = 5,844.81

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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.