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Finding the Fourth Proportional to 10,427.40, 14,392.08 and 6,890.94

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Solution

The fourth proportional to 10,427.40, 14,392.08 and 6,890.94 is: 9,511.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.40 : 14,392.08 = 6,890.94 : x
  2. Step 2: Convert to fraction form
    10,427.40/14,392.08 = 6,890.94/x
  3. Step 3: Cross multiply
    10,427.40x = 14,392.08 × 6,890.94
  4. Step 4: Simplify right side
    10,427.40x = 99,174,959.76
  5. Step 5: Solve for x
    x = 99,174,959.76/10,427.40
  6. Step 6: Final answer
    x = 9,511.00

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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.