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Finding the Fourth Proportional to 10,159.05, 14,018.85 and 5,683.14

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Solution

The fourth proportional to 10,159.05, 14,018.85 and 5,683.14 is: 7,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.05 : 14,018.85 = 5,683.14 : x
  2. Step 2: Convert to fraction form
    10,159.05/14,018.85 = 5,683.14/x
  3. Step 3: Cross multiply
    10,159.05x = 14,018.85 × 5,683.14
  4. Step 4: Simplify right side
    10,159.05x = 79,671,087.19
  5. Step 5: Solve for x
    x = 79,671,087.19/10,159.05
  6. Step 6: Final answer
    x = 7,842.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.