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Finding the Fourth Proportional to 10,007.16, 14,998.08 and 4,742.16

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Solution

The fourth proportional to 10,007.16, 14,998.08 and 4,742.16 is: 7,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.16 : 14,998.08 = 4,742.16 : x
  2. Step 2: Convert to fraction form
    10,007.16/14,998.08 = 4,742.16/x
  3. Step 3: Cross multiply
    10,007.16x = 14,998.08 × 4,742.16
  4. Step 4: Simplify right side
    10,007.16x = 71,123,295.05
  5. Step 5: Solve for x
    x = 71,123,295.05/10,007.16
  6. Step 6: Final answer
    x = 7,107.24

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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.