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Finding the Fourth Proportional to 10,510.76, 14,503.94 and 5,794.28

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Solution

The fourth proportional to 10,510.76, 14,503.94 and 5,794.28 is: 7,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.76 : 14,503.94 = 5,794.28 : x
  2. Step 2: Convert to fraction form
    10,510.76/14,503.94 = 5,794.28/x
  3. Step 3: Cross multiply
    10,510.76x = 14,503.94 × 5,794.28
  4. Step 4: Simplify right side
    10,510.76x = 84,039,889.46
  5. Step 5: Solve for x
    x = 84,039,889.46/10,510.76
  6. Step 6: Final answer
    x = 7,995.61

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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.