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Finding the Fourth Proportional to 10,329.54, 14,254.02 and 5,852.88

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Solution

The fourth proportional to 10,329.54, 14,254.02 and 5,852.88 is: 8,076.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.54 : 14,254.02 = 5,852.88 : x
  2. Step 2: Convert to fraction form
    10,329.54/14,254.02 = 5,852.88/x
  3. Step 3: Cross multiply
    10,329.54x = 14,254.02 × 5,852.88
  4. Step 4: Simplify right side
    10,329.54x = 83,427,068.58
  5. Step 5: Solve for x
    x = 83,427,068.58/10,329.54
  6. Step 6: Final answer
    x = 8,076.55

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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.