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Finding the Fourth Proportional to 10,187.64, 15,284.52 and 8,424.68

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Solution

The fourth proportional to 10,187.64, 15,284.52 and 8,424.68 is: 12,639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.64 : 15,284.52 = 8,424.68 : x
  2. Step 2: Convert to fraction form
    10,187.64/15,284.52 = 8,424.68/x
  3. Step 3: Cross multiply
    10,187.64x = 15,284.52 × 8,424.68
  4. Step 4: Simplify right side
    10,187.64x = 128,767,113.53
  5. Step 5: Solve for x
    x = 128,767,113.53/10,187.64
  6. Step 6: Final answer
    x = 12,639.54

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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.