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Finding the Fourth Proportional to 10,700.42, 16,048.06 and 4,460.52

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Solution

The fourth proportional to 10,700.42, 16,048.06 and 4,460.52 is: 6,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.42 : 16,048.06 = 4,460.52 : x
  2. Step 2: Convert to fraction form
    10,700.42/16,048.06 = 4,460.52/x
  3. Step 3: Cross multiply
    10,700.42x = 16,048.06 × 4,460.52
  4. Step 4: Simplify right side
    10,700.42x = 71,582,692.59
  5. Step 5: Solve for x
    x = 71,582,692.59/10,700.42
  6. Step 6: Final answer
    x = 6,689.71

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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.