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Finding the Fourth Proportional to 10,308.06, 15,462.09 and 6,820.10

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Solution

The fourth proportional to 10,308.06, 15,462.09 and 6,820.10 is: 10,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.06 : 15,462.09 = 6,820.10 : x
  2. Step 2: Convert to fraction form
    10,308.06/15,462.09 = 6,820.10/x
  3. Step 3: Cross multiply
    10,308.06x = 15,462.09 × 6,820.10
  4. Step 4: Simplify right side
    10,308.06x = 105,452,980.68
  5. Step 5: Solve for x
    x = 105,452,980.68/10,308.06
  6. Step 6: Final answer
    x = 10,230.15

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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.