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Finding the Fourth Proportional to 10,406.82, 14,360.65 and 6,428.01

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Solution

The fourth proportional to 10,406.82, 14,360.65 and 6,428.01 is: 8,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.82 : 14,360.65 = 6,428.01 : x
  2. Step 2: Convert to fraction form
    10,406.82/14,360.65 = 6,428.01/x
  3. Step 3: Cross multiply
    10,406.82x = 14,360.65 × 6,428.01
  4. Step 4: Simplify right side
    10,406.82x = 92,310,385.74
  5. Step 5: Solve for x
    x = 92,310,385.74/10,406.82
  6. Step 6: Final answer
    x = 8,870.18

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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.