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Finding the Fourth Proportional to 10,180.16, 14,048.85 and 5,703.68

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Solution

The fourth proportional to 10,180.16, 14,048.85 and 5,703.68 is: 7,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.16 : 14,048.85 = 5,703.68 : x
  2. Step 2: Convert to fraction form
    10,180.16/14,048.85 = 5,703.68/x
  3. Step 3: Cross multiply
    10,180.16x = 14,048.85 × 5,703.68
  4. Step 4: Simplify right side
    10,180.16x = 80,130,144.77
  5. Step 5: Solve for x
    x = 80,130,144.77/10,180.16
  6. Step 6: Final answer
    x = 7,871.21

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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.