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Finding the Fourth Proportional to 10,308.02, 15,464.46 and 8,207.58

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Solution

The fourth proportional to 10,308.02, 15,464.46 and 8,207.58 is: 12,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.02 : 15,464.46 = 8,207.58 : x
  2. Step 2: Convert to fraction form
    10,308.02/15,464.46 = 8,207.58/x
  3. Step 3: Cross multiply
    10,308.02x = 15,464.46 × 8,207.58
  4. Step 4: Simplify right side
    10,308.02x = 126,925,792.61
  5. Step 5: Solve for x
    x = 126,925,792.61/10,308.02
  6. Step 6: Final answer
    x = 12,313.30

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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.