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Finding the Fourth Proportional to 11,525.84, 15,904.65 and 6,420.98

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Solution

The fourth proportional to 11,525.84, 15,904.65 and 6,420.98 is: 8,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.84 : 15,904.65 = 6,420.98 : x
  2. Step 2: Convert to fraction form
    11,525.84/15,904.65 = 6,420.98/x
  3. Step 3: Cross multiply
    11,525.84x = 15,904.65 × 6,420.98
  4. Step 4: Simplify right side
    11,525.84x = 102,123,407.45
  5. Step 5: Solve for x
    x = 102,123,407.45/11,525.84
  6. Step 6: Final answer
    x = 8,860.39

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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.