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Finding the Fourth Proportional to 10,478.08, 14,442.96 and 7,951.96

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Solution

The fourth proportional to 10,478.08, 14,442.96 and 7,951.96 is: 10,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.08 : 14,442.96 = 7,951.96 : x
  2. Step 2: Convert to fraction form
    10,478.08/14,442.96 = 7,951.96/x
  3. Step 3: Cross multiply
    10,478.08x = 14,442.96 × 7,951.96
  4. Step 4: Simplify right side
    10,478.08x = 114,849,840.20
  5. Step 5: Solve for x
    x = 114,849,840.20/10,478.08
  6. Step 6: Final answer
    x = 10,960.96

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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.