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Finding the Fourth Proportional to 10,339.36, 14,271.44 and 7,029.28

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Solution

The fourth proportional to 10,339.36, 14,271.44 and 7,029.28 is: 9,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.36 : 14,271.44 = 7,029.28 : x
  2. Step 2: Convert to fraction form
    10,339.36/14,271.44 = 7,029.28/x
  3. Step 3: Cross multiply
    10,339.36x = 14,271.44 × 7,029.28
  4. Step 4: Simplify right side
    10,339.36x = 100,317,947.76
  5. Step 5: Solve for x
    x = 100,317,947.76/10,339.36
  6. Step 6: Final answer
    x = 9,702.53

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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.