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Finding the Fourth Proportional to 4,006.12, 6,007.48 and 1,407.88

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Solution

The fourth proportional to 4,006.12, 6,007.48 and 1,407.88 is: 2,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.12 : 6,007.48 = 1,407.88 : x
  2. Step 2: Convert to fraction form
    4,006.12/6,007.48 = 1,407.88/x
  3. Step 3: Cross multiply
    4,006.12x = 6,007.48 × 1,407.88
  4. Step 4: Simplify right side
    4,006.12x = 8,457,810.94
  5. Step 5: Solve for x
    x = 8,457,810.94/4,006.12
  6. Step 6: Final answer
    x = 2,111.22

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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.