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Finding the Fourth Proportional to 10,328.01, 14,252.61 and 5,852.61

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Solution

The fourth proportional to 10,328.01, 14,252.61 and 5,852.61 is: 8,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.01 : 14,252.61 = 5,852.61 : x
  2. Step 2: Convert to fraction form
    10,328.01/14,252.61 = 5,852.61/x
  3. Step 3: Cross multiply
    10,328.01x = 14,252.61 × 5,852.61
  4. Step 4: Simplify right side
    10,328.01x = 83,414,967.81
  5. Step 5: Solve for x
    x = 83,414,967.81/10,328.01
  6. Step 6: Final answer
    x = 8,076.58

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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.