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Finding the Fourth Proportional to 11,102.40, 15,312.24 and 7,960.32

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Solution

The fourth proportional to 11,102.40, 15,312.24 and 7,960.32 is: 10,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.40 : 15,312.24 = 7,960.32 : x
  2. Step 2: Convert to fraction form
    11,102.40/15,312.24 = 7,960.32/x
  3. Step 3: Cross multiply
    11,102.40x = 15,312.24 × 7,960.32
  4. Step 4: Simplify right side
    11,102.40x = 121,890,330.32
  5. Step 5: Solve for x
    x = 121,890,330.32/11,102.40
  6. Step 6: Final answer
    x = 10,978.74

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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.