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Finding the Fourth Proportional to 10,585.17, 15,869.07 and 5,313.81

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Solution

The fourth proportional to 10,585.17, 15,869.07 and 5,313.81 is: 7,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.17 : 15,869.07 = 5,313.81 : x
  2. Step 2: Convert to fraction form
    10,585.17/15,869.07 = 5,313.81/x
  3. Step 3: Cross multiply
    10,585.17x = 15,869.07 × 5,313.81
  4. Step 4: Simplify right side
    10,585.17x = 84,325,222.86
  5. Step 5: Solve for x
    x = 84,325,222.86/10,585.17
  6. Step 6: Final answer
    x = 7,966.36

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Why These Related Problems?

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