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Finding the Fourth Proportional to 10,200.81, 15,301.23 and 6,499.32

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Solution

The fourth proportional to 10,200.81, 15,301.23 and 6,499.32 is: 9,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.81 : 15,301.23 = 6,499.32 : x
  2. Step 2: Convert to fraction form
    10,200.81/15,301.23 = 6,499.32/x
  3. Step 3: Cross multiply
    10,200.81x = 15,301.23 × 6,499.32
  4. Step 4: Simplify right side
    10,200.81x = 99,447,590.16
  5. Step 5: Solve for x
    x = 99,447,590.16/10,200.81
  6. Step 6: Final answer
    x = 9,748.99

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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.