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Finding the Fourth Proportional to 10,563.84, 14,578.92 and 5,848.56

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Solution

The fourth proportional to 10,563.84, 14,578.92 and 5,848.56 is: 8,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.84 : 14,578.92 = 5,848.56 : x
  2. Step 2: Convert to fraction form
    10,563.84/14,578.92 = 5,848.56/x
  3. Step 3: Cross multiply
    10,563.84x = 14,578.92 × 5,848.56
  4. Step 4: Simplify right side
    10,563.84x = 85,265,688.36
  5. Step 5: Solve for x
    x = 85,265,688.36/10,563.84
  6. Step 6: Final answer
    x = 8,071.47

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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.