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Finding the Fourth Proportional to 10,152.91, 15,208.08 and 6,453.22

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Solution

The fourth proportional to 10,152.91, 15,208.08 and 6,453.22 is: 9,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.91 : 15,208.08 = 6,453.22 : x
  2. Step 2: Convert to fraction form
    10,152.91/15,208.08 = 6,453.22/x
  3. Step 3: Cross multiply
    10,152.91x = 15,208.08 × 6,453.22
  4. Step 4: Simplify right side
    10,152.91x = 98,141,086.02
  5. Step 5: Solve for x
    x = 98,141,086.02/10,152.91
  6. Step 6: Final answer
    x = 9,666.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.