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Finding the Fourth Proportional to 11,347.84, 15,660.05 and 6,312.38

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Solution

The fourth proportional to 11,347.84, 15,660.05 and 6,312.38 is: 8,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.84 : 15,660.05 = 6,312.38 : x
  2. Step 2: Convert to fraction form
    11,347.84/15,660.05 = 6,312.38/x
  3. Step 3: Cross multiply
    11,347.84x = 15,660.05 × 6,312.38
  4. Step 4: Simplify right side
    11,347.84x = 98,852,186.42
  5. Step 5: Solve for x
    x = 98,852,186.42/11,347.84
  6. Step 6: Final answer
    x = 8,711.10

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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.