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Finding the Fourth Proportional to 11,312.84, 15,610.38 and 6,596.48

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Solution

The fourth proportional to 11,312.84, 15,610.38 and 6,596.48 is: 9,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.84 : 15,610.38 = 6,596.48 : x
  2. Step 2: Convert to fraction form
    11,312.84/15,610.38 = 6,596.48/x
  3. Step 3: Cross multiply
    11,312.84x = 15,610.38 × 6,596.48
  4. Step 4: Simplify right side
    11,312.84x = 102,973,559.46
  5. Step 5: Solve for x
    x = 102,973,559.46/11,312.84
  6. Step 6: Final answer
    x = 9,102.36

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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.