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Finding the Fourth Proportional to 11,852.31, 16,356.09 and 6,547.08

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Solution

The fourth proportional to 11,852.31, 16,356.09 and 6,547.08 is: 9,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.31 : 16,356.09 = 6,547.08 : x
  2. Step 2: Convert to fraction form
    11,852.31/16,356.09 = 6,547.08/x
  3. Step 3: Cross multiply
    11,852.31x = 16,356.09 × 6,547.08
  4. Step 4: Simplify right side
    11,852.31x = 107,084,629.72
  5. Step 5: Solve for x
    x = 107,084,629.72/11,852.31
  6. Step 6: Final answer
    x = 9,034.92

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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.