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Finding the Fourth Proportional to 8,417.96, 12,626.48 and 2,574.08

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Solution

The fourth proportional to 8,417.96, 12,626.48 and 2,574.08 is: 3,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.96 : 12,626.48 = 2,574.08 : x
  2. Step 2: Convert to fraction form
    8,417.96/12,626.48 = 2,574.08/x
  3. Step 3: Cross multiply
    8,417.96x = 12,626.48 × 2,574.08
  4. Step 4: Simplify right side
    8,417.96x = 32,501,569.64
  5. Step 5: Solve for x
    x = 32,501,569.64/8,417.96
  6. Step 6: Final answer
    x = 3,860.98

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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.