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Finding the Fourth Proportional to 7,396.34, 10,206.05 and 4,210.06

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Solution

The fourth proportional to 7,396.34, 10,206.05 and 4,210.06 is: 5,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.34 : 10,206.05 = 4,210.06 : x
  2. Step 2: Convert to fraction form
    7,396.34/10,206.05 = 4,210.06/x
  3. Step 3: Cross multiply
    7,396.34x = 10,206.05 × 4,210.06
  4. Step 4: Simplify right side
    7,396.34x = 42,968,036.30
  5. Step 5: Solve for x
    x = 42,968,036.30/7,396.34
  6. Step 6: Final answer
    x = 5,809.36

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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.