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Finding the Fourth Proportional to 10,386.33, 14,341.29 and 8,363.31

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Solution

The fourth proportional to 10,386.33, 14,341.29 and 8,363.31 is: 11,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.33 : 14,341.29 = 8,363.31 : x
  2. Step 2: Convert to fraction form
    10,386.33/14,341.29 = 8,363.31/x
  3. Step 3: Cross multiply
    10,386.33x = 14,341.29 × 8,363.31
  4. Step 4: Simplify right side
    10,386.33x = 119,940,654.07
  5. Step 5: Solve for x
    x = 119,940,654.07/10,386.33
  6. Step 6: Final answer
    x = 11,547.93

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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.