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Finding the Fourth Proportional to 10,353.01, 14,284.72 and 5,875.75

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Solution

The fourth proportional to 10,353.01, 14,284.72 and 5,875.75 is: 8,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.01 : 14,284.72 = 5,875.75 : x
  2. Step 2: Convert to fraction form
    10,353.01/14,284.72 = 5,875.75/x
  3. Step 3: Cross multiply
    10,353.01x = 14,284.72 × 5,875.75
  4. Step 4: Simplify right side
    10,353.01x = 83,933,443.54
  5. Step 5: Solve for x
    x = 83,933,443.54/10,353.01
  6. Step 6: Final answer
    x = 8,107.15

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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.