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Finding the Fourth Proportional to 10,427.98, 14,387.01 and 7,907.47

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Solution

The fourth proportional to 10,427.98, 14,387.01 and 7,907.47 is: 10,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.98 : 14,387.01 = 7,907.47 : x
  2. Step 2: Convert to fraction form
    10,427.98/14,387.01 = 7,907.47/x
  3. Step 3: Cross multiply
    10,427.98x = 14,387.01 × 7,907.47
  4. Step 4: Simplify right side
    10,427.98x = 113,764,849.96
  5. Step 5: Solve for x
    x = 113,764,849.96/10,427.98
  6. Step 6: Final answer
    x = 10,909.58

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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.