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Finding the Fourth Proportional to 10,353.65, 14,288.05 and 5,637.95

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Solution

The fourth proportional to 10,353.65, 14,288.05 and 5,637.95 is: 7,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.65 : 14,288.05 = 5,637.95 : x
  2. Step 2: Convert to fraction form
    10,353.65/14,288.05 = 5,637.95/x
  3. Step 3: Cross multiply
    10,353.65x = 14,288.05 × 5,637.95
  4. Step 4: Simplify right side
    10,353.65x = 80,555,225.96
  5. Step 5: Solve for x
    x = 80,555,225.96/10,353.65
  6. Step 6: Final answer
    x = 7,780.37

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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.