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Finding the Fourth Proportional to 10,573.92, 14,596.80 and 6,802.56

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Solution

The fourth proportional to 10,573.92, 14,596.80 and 6,802.56 is: 9,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.92 : 14,596.80 = 6,802.56 : x
  2. Step 2: Convert to fraction form
    10,573.92/14,596.80 = 6,802.56/x
  3. Step 3: Cross multiply
    10,573.92x = 14,596.80 × 6,802.56
  4. Step 4: Simplify right side
    10,573.92x = 99,295,607.81
  5. Step 5: Solve for x
    x = 99,295,607.81/10,573.92
  6. Step 6: Final answer
    x = 9,390.61

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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.