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Finding the Fourth Proportional to 7,930.32, 10,946.28 and 4,575.39

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Solution

The fourth proportional to 7,930.32, 10,946.28 and 4,575.39 is: 6,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.32 : 10,946.28 = 4,575.39 : x
  2. Step 2: Convert to fraction form
    7,930.32/10,946.28 = 4,575.39/x
  3. Step 3: Cross multiply
    7,930.32x = 10,946.28 × 4,575.39
  4. Step 4: Simplify right side
    7,930.32x = 50,083,500.05
  5. Step 5: Solve for x
    x = 50,083,500.05/7,930.32
  6. Step 6: Final answer
    x = 6,315.45

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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.