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Finding the Fourth Proportional to 10,499.16, 15,758.46 and 5,308.68

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Solution

The fourth proportional to 10,499.16, 15,758.46 and 5,308.68 is: 7,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.16 : 15,758.46 = 5,308.68 : x
  2. Step 2: Convert to fraction form
    10,499.16/15,758.46 = 5,308.68/x
  3. Step 3: Cross multiply
    10,499.16x = 15,758.46 × 5,308.68
  4. Step 4: Simplify right side
    10,499.16x = 83,656,621.43
  5. Step 5: Solve for x
    x = 83,656,621.43/10,499.16
  6. Step 6: Final answer
    x = 7,967.93

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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.