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Finding the Fourth Proportional to 10,018.68, 13,823.29 and 6,477.63

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Solution

The fourth proportional to 10,018.68, 13,823.29 and 6,477.63 is: 8,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.68 : 13,823.29 = 6,477.63 : x
  2. Step 2: Convert to fraction form
    10,018.68/13,823.29 = 6,477.63/x
  3. Step 3: Cross multiply
    10,018.68x = 13,823.29 × 6,477.63
  4. Step 4: Simplify right side
    10,018.68x = 89,542,056.50
  5. Step 5: Solve for x
    x = 89,542,056.50/10,018.68
  6. Step 6: Final answer
    x = 8,937.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.