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Finding the Fourth Proportional to 10,353.70, 14,288.76 and 5,875.75

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Solution

The fourth proportional to 10,353.70, 14,288.76 and 5,875.75 is: 8,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.70 : 14,288.76 = 5,875.75 : x
  2. Step 2: Convert to fraction form
    10,353.70/14,288.76 = 5,875.75/x
  3. Step 3: Cross multiply
    10,353.70x = 14,288.76 × 5,875.75
  4. Step 4: Simplify right side
    10,353.70x = 83,957,080.75
  5. Step 5: Solve for x
    x = 83,957,080.75/10,353.70
  6. Step 6: Final answer
    x = 8,108.90

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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.