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Finding the Fourth Proportional to 10,368, 14,308.92 and 6,389.01

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Solution

The fourth proportional to 10,368, 14,308.92 and 6,389.01 is: 8,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368 : 14,308.92 = 6,389.01 : x
  2. Step 2: Convert to fraction form
    10,368/14,308.92 = 6,389.01/x
  3. Step 3: Cross multiply
    10,368x = 14,308.92 × 6,389.01
  4. Step 4: Simplify right side
    10,368x = 91,419,832.97
  5. Step 5: Solve for x
    x = 91,419,832.97/10,368
  6. Step 6: Final answer
    x = 8,817.50

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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.