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Finding the Fourth Proportional to 10,978.08, 16,455.60 and 4,050.24

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Solution

The fourth proportional to 10,978.08, 16,455.60 and 4,050.24 is: 6,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.08 : 16,455.60 = 4,050.24 : x
  2. Step 2: Convert to fraction form
    10,978.08/16,455.60 = 4,050.24/x
  3. Step 3: Cross multiply
    10,978.08x = 16,455.60 × 4,050.24
  4. Step 4: Simplify right side
    10,978.08x = 66,649,129.34
  5. Step 5: Solve for x
    x = 66,649,129.34/10,978.08
  6. Step 6: Final answer
    x = 6,071.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.