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Finding the Fourth Proportional to 10,145.70, 15,210.59 and 6,447.24

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Solution

The fourth proportional to 10,145.70, 15,210.59 and 6,447.24 is: 9,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.70 : 15,210.59 = 6,447.24 : x
  2. Step 2: Convert to fraction form
    10,145.70/15,210.59 = 6,447.24/x
  3. Step 3: Cross multiply
    10,145.70x = 15,210.59 × 6,447.24
  4. Step 4: Simplify right side
    10,145.70x = 98,066,292.04
  5. Step 5: Solve for x
    x = 98,066,292.04/10,145.70
  6. Step 6: Final answer
    x = 9,665.80

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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.