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Finding the Fourth Proportional to 10,442.64, 14,405.40 and 8,455.44

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Solution

The fourth proportional to 10,442.64, 14,405.40 and 8,455.44 is: 11,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.64 : 14,405.40 = 8,455.44 : x
  2. Step 2: Convert to fraction form
    10,442.64/14,405.40 = 8,455.44/x
  3. Step 3: Cross multiply
    10,442.64x = 14,405.40 × 8,455.44
  4. Step 4: Simplify right side
    10,442.64x = 121,803,995.38
  5. Step 5: Solve for x
    x = 121,803,995.38/10,442.64
  6. Step 6: Final answer
    x = 11,664.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.