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Finding the Fourth Proportional to 11,152.24, 15,390.24 and 6,435.64

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Solution

The fourth proportional to 11,152.24, 15,390.24 and 6,435.64 is: 8,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.24 : 15,390.24 = 6,435.64 : x
  2. Step 2: Convert to fraction form
    11,152.24/15,390.24 = 6,435.64/x
  3. Step 3: Cross multiply
    11,152.24x = 15,390.24 × 6,435.64
  4. Step 4: Simplify right side
    11,152.24x = 99,046,044.15
  5. Step 5: Solve for x
    x = 99,046,044.15/11,152.24
  6. Step 6: Final answer
    x = 8,881.27

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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.