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Finding the Fourth Proportional to 10,175.12, 14,040.99 and 5,637.50

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Solution

The fourth proportional to 10,175.12, 14,040.99 and 5,637.50 is: 7,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.12 : 14,040.99 = 5,637.50 : x
  2. Step 2: Convert to fraction form
    10,175.12/14,040.99 = 5,637.50/x
  3. Step 3: Cross multiply
    10,175.12x = 14,040.99 × 5,637.50
  4. Step 4: Simplify right side
    10,175.12x = 79,156,081.13
  5. Step 5: Solve for x
    x = 79,156,081.13/10,175.12
  6. Step 6: Final answer
    x = 7,779.38

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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.