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Finding the Fourth Proportional to 11,852.16, 16,356.16 and 6,547.44

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Solution

The fourth proportional to 11,852.16, 16,356.16 and 6,547.44 is: 9,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.16 : 16,356.16 = 6,547.44 : x
  2. Step 2: Convert to fraction form
    11,852.16/16,356.16 = 6,547.44/x
  3. Step 3: Cross multiply
    11,852.16x = 16,356.16 × 6,547.44
  4. Step 4: Simplify right side
    11,852.16x = 107,090,976.23
  5. Step 5: Solve for x
    x = 107,090,976.23/11,852.16
  6. Step 6: Final answer
    x = 9,035.57

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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.