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Finding the Fourth Proportional to 10,179.21, 14,048.16 and 5,702.88

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Solution

The fourth proportional to 10,179.21, 14,048.16 and 5,702.88 is: 7,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.21 : 14,048.16 = 5,702.88 : x
  2. Step 2: Convert to fraction form
    10,179.21/14,048.16 = 5,702.88/x
  3. Step 3: Cross multiply
    10,179.21x = 14,048.16 × 5,702.88
  4. Step 4: Simplify right side
    10,179.21x = 80,114,970.70
  5. Step 5: Solve for x
    x = 80,114,970.70/10,179.21
  6. Step 6: Final answer
    x = 7,870.45

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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.