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Finding the Fourth Proportional to 11,263.02, 15,543.94 and 6,547

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Solution

The fourth proportional to 11,263.02, 15,543.94 and 6,547 is: 9,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,263.02 : 15,543.94 = 6,547 : x
  2. Step 2: Convert to fraction form
    11,263.02/15,543.94 = 6,547/x
  3. Step 3: Cross multiply
    11,263.02x = 15,543.94 × 6,547
  4. Step 4: Simplify right side
    11,263.02x = 101,766,175.18
  5. Step 5: Solve for x
    x = 101,766,175.18/11,263.02
  6. Step 6: Final answer
    x = 9,035.43

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Why These Related Problems?

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