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Finding the Fourth Proportional to 11,543.80, 15,929.49 and 6,509.26

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Solution

The fourth proportional to 11,543.80, 15,929.49 and 6,509.26 is: 8,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.80 : 15,929.49 = 6,509.26 : x
  2. Step 2: Convert to fraction form
    11,543.80/15,929.49 = 6,509.26/x
  3. Step 3: Cross multiply
    11,543.80x = 15,929.49 × 6,509.26
  4. Step 4: Simplify right side
    11,543.80x = 103,689,192.08
  5. Step 5: Solve for x
    x = 103,689,192.08/11,543.80
  6. Step 6: Final answer
    x = 8,982.24

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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.