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Finding the Fourth Proportional to 8,258.40, 12,387.70 and 2,415.06

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Solution

The fourth proportional to 8,258.40, 12,387.70 and 2,415.06 is: 3,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.40 : 12,387.70 = 2,415.06 : x
  2. Step 2: Convert to fraction form
    8,258.40/12,387.70 = 2,415.06/x
  3. Step 3: Cross multiply
    8,258.40x = 12,387.70 × 2,415.06
  4. Step 4: Simplify right side
    8,258.40x = 29,917,038.76
  5. Step 5: Solve for x
    x = 29,917,038.76/8,258.40
  6. Step 6: Final answer
    x = 3,622.62

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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.