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Finding the Fourth Proportional to 10,368.06, 14,308.20 and 5,892

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Solution

The fourth proportional to 10,368.06, 14,308.20 and 5,892 is: 8,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.06 : 14,308.20 = 5,892 : x
  2. Step 2: Convert to fraction form
    10,368.06/14,308.20 = 5,892/x
  3. Step 3: Cross multiply
    10,368.06x = 14,308.20 × 5,892
  4. Step 4: Simplify right side
    10,368.06x = 84,303,914.40
  5. Step 5: Solve for x
    x = 84,303,914.40/10,368.06
  6. Step 6: Final answer
    x = 8,131.12

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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.