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Finding the Fourth Proportional to 10,386.98, 14,335.29 and 5,911.82

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Solution

The fourth proportional to 10,386.98, 14,335.29 and 5,911.82 is: 8,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.98 : 14,335.29 = 5,911.82 : x
  2. Step 2: Convert to fraction form
    10,386.98/14,335.29 = 5,911.82/x
  3. Step 3: Cross multiply
    10,386.98x = 14,335.29 × 5,911.82
  4. Step 4: Simplify right side
    10,386.98x = 84,747,654.13
  5. Step 5: Solve for x
    x = 84,747,654.13/10,386.98
  6. Step 6: Final answer
    x = 8,159.03

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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.