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Finding the Fourth Proportional to 8,705.81, 13,058.46 and 2,465.81

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Solution

The fourth proportional to 8,705.81, 13,058.46 and 2,465.81 is: 3,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.81 : 13,058.46 = 2,465.81 : x
  2. Step 2: Convert to fraction form
    8,705.81/13,058.46 = 2,465.81/x
  3. Step 3: Cross multiply
    8,705.81x = 13,058.46 × 2,465.81
  4. Step 4: Simplify right side
    8,705.81x = 32,199,686.42
  5. Step 5: Solve for x
    x = 32,199,686.42/8,705.81
  6. Step 6: Final answer
    x = 3,698.64

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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.