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Finding the Fourth Proportional to 10,782.54, 14,881.38 and 6,535.29

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Solution

The fourth proportional to 10,782.54, 14,881.38 and 6,535.29 is: 9,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.54 : 14,881.38 = 6,535.29 : x
  2. Step 2: Convert to fraction form
    10,782.54/14,881.38 = 6,535.29/x
  3. Step 3: Cross multiply
    10,782.54x = 14,881.38 × 6,535.29
  4. Step 4: Simplify right side
    10,782.54x = 97,254,133.90
  5. Step 5: Solve for x
    x = 97,254,133.90/10,782.54
  6. Step 6: Final answer
    x = 9,019.59

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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.