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Finding the Fourth Proportional to 10,825.58, 14,938.64 and 6,045.22

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Solution

The fourth proportional to 10,825.58, 14,938.64 and 6,045.22 is: 8,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.58 : 14,938.64 = 6,045.22 : x
  2. Step 2: Convert to fraction form
    10,825.58/14,938.64 = 6,045.22/x
  3. Step 3: Cross multiply
    10,825.58x = 14,938.64 × 6,045.22
  4. Step 4: Simplify right side
    10,825.58x = 90,307,365.30
  5. Step 5: Solve for x
    x = 90,307,365.30/10,825.58
  6. Step 6: Final answer
    x = 8,342.03

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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.