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Finding the Fourth Proportional to 10,316.31, 14,239.75 and 6,590.31

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Solution

The fourth proportional to 10,316.31, 14,239.75 and 6,590.31 is: 9,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.31 : 14,239.75 = 6,590.31 : x
  2. Step 2: Convert to fraction form
    10,316.31/14,239.75 = 6,590.31/x
  3. Step 3: Cross multiply
    10,316.31x = 14,239.75 × 6,590.31
  4. Step 4: Simplify right side
    10,316.31x = 93,844,418.90
  5. Step 5: Solve for x
    x = 93,844,418.90/10,316.31
  6. Step 6: Final answer
    x = 9,096.70

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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.