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Finding the Fourth Proportional to 10,527.72, 14,528.10 and 6,338.28

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Solution

The fourth proportional to 10,527.72, 14,528.10 and 6,338.28 is: 8,746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.72 : 14,528.10 = 6,338.28 : x
  2. Step 2: Convert to fraction form
    10,527.72/14,528.10 = 6,338.28/x
  3. Step 3: Cross multiply
    10,527.72x = 14,528.10 × 6,338.28
  4. Step 4: Simplify right side
    10,527.72x = 92,083,165.67
  5. Step 5: Solve for x
    x = 92,083,165.67/10,527.72
  6. Step 6: Final answer
    x = 8,746.73

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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.