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Finding the Fourth Proportional to 10,179.29, 14,047.07 and 5,703.23

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Solution

The fourth proportional to 10,179.29, 14,047.07 and 5,703.23 is: 7,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.29 : 14,047.07 = 5,703.23 : x
  2. Step 2: Convert to fraction form
    10,179.29/14,047.07 = 5,703.23/x
  3. Step 3: Cross multiply
    10,179.29x = 14,047.07 × 5,703.23
  4. Step 4: Simplify right side
    10,179.29x = 80,113,572.28
  5. Step 5: Solve for x
    x = 80,113,572.28/10,179.29
  6. Step 6: Final answer
    x = 7,870.26

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