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Finding the Fourth Proportional to 10,448.52, 15,670.70 and 4,900.44

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Solution

The fourth proportional to 10,448.52, 15,670.70 and 4,900.44 is: 7,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.52 : 15,670.70 = 4,900.44 : x
  2. Step 2: Convert to fraction form
    10,448.52/15,670.70 = 4,900.44/x
  3. Step 3: Cross multiply
    10,448.52x = 15,670.70 × 4,900.44
  4. Step 4: Simplify right side
    10,448.52x = 76,793,325.11
  5. Step 5: Solve for x
    x = 76,793,325.11/10,448.52
  6. Step 6: Final answer
    x = 7,349.68

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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.