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Finding the Fourth Proportional to 10,541.54, 14,547.12 and 5,825.84

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Solution

The fourth proportional to 10,541.54, 14,547.12 and 5,825.84 is: 8,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.54 : 14,547.12 = 5,825.84 : x
  2. Step 2: Convert to fraction form
    10,541.54/14,547.12 = 5,825.84/x
  3. Step 3: Cross multiply
    10,541.54x = 14,547.12 × 5,825.84
  4. Step 4: Simplify right side
    10,541.54x = 84,749,193.58
  5. Step 5: Solve for x
    x = 84,749,193.58/10,541.54
  6. Step 6: Final answer
    x = 8,039.55

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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.