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Finding the Fourth Proportional to 10,541.25, 14,547.06 and 5,825.97

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Solution

The fourth proportional to 10,541.25, 14,547.06 and 5,825.97 is: 8,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.25 : 14,547.06 = 5,825.97 : x
  2. Step 2: Convert to fraction form
    10,541.25/14,547.06 = 5,825.97/x
  3. Step 3: Cross multiply
    10,541.25x = 14,547.06 × 5,825.97
  4. Step 4: Simplify right side
    10,541.25x = 84,750,735.15
  5. Step 5: Solve for x
    x = 84,750,735.15/10,541.25
  6. Step 6: Final answer
    x = 8,039.91

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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.