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Finding the Fourth Proportional to 10,021.58, 13,836.08 and 6,437.98

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Solution

The fourth proportional to 10,021.58, 13,836.08 and 6,437.98 is: 8,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.58 : 13,836.08 = 6,437.98 : x
  2. Step 2: Convert to fraction form
    10,021.58/13,836.08 = 6,437.98/x
  3. Step 3: Cross multiply
    10,021.58x = 13,836.08 × 6,437.98
  4. Step 4: Simplify right side
    10,021.58x = 89,076,406.32
  5. Step 5: Solve for x
    x = 89,076,406.32/10,021.58
  6. Step 6: Final answer
    x = 8,888.46

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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.