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Finding the Fourth Proportional to 10,467.02, 15,700.64 and 4,619.63

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Solution

The fourth proportional to 10,467.02, 15,700.64 and 4,619.63 is: 6,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.02 : 15,700.64 = 4,619.63 : x
  2. Step 2: Convert to fraction form
    10,467.02/15,700.64 = 4,619.63/x
  3. Step 3: Cross multiply
    10,467.02x = 15,700.64 × 4,619.63
  4. Step 4: Simplify right side
    10,467.02x = 72,531,163.72
  5. Step 5: Solve for x
    x = 72,531,163.72/10,467.02
  6. Step 6: Final answer
    x = 6,929.49

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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.