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Finding the Fourth Proportional to 10,752.46, 14,838.12 and 6,276.40

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Solution

The fourth proportional to 10,752.46, 14,838.12 and 6,276.40 is: 8,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.46 : 14,838.12 = 6,276.40 : x
  2. Step 2: Convert to fraction form
    10,752.46/14,838.12 = 6,276.40/x
  3. Step 3: Cross multiply
    10,752.46x = 14,838.12 × 6,276.40
  4. Step 4: Simplify right side
    10,752.46x = 93,129,976.37
  5. Step 5: Solve for x
    x = 93,129,976.37/10,752.46
  6. Step 6: Final answer
    x = 8,661.27

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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.