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Finding the Fourth Proportional to 8,431.89, 12,653.47 and 3,501.53

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Solution

The fourth proportional to 8,431.89, 12,653.47 and 3,501.53 is: 5,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.89 : 12,653.47 = 3,501.53 : x
  2. Step 2: Convert to fraction form
    8,431.89/12,653.47 = 3,501.53/x
  3. Step 3: Cross multiply
    8,431.89x = 12,653.47 × 3,501.53
  4. Step 4: Simplify right side
    8,431.89x = 44,306,504.81
  5. Step 5: Solve for x
    x = 44,306,504.81/8,431.89
  6. Step 6: Final answer
    x = 5,254.64

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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.