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Finding the Fourth Proportional to 11,423.66, 15,764.76 and 6,708.02

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Solution

The fourth proportional to 11,423.66, 15,764.76 and 6,708.02 is: 9,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.66 : 15,764.76 = 6,708.02 : x
  2. Step 2: Convert to fraction form
    11,423.66/15,764.76 = 6,708.02/x
  3. Step 3: Cross multiply
    11,423.66x = 15,764.76 × 6,708.02
  4. Step 4: Simplify right side
    11,423.66x = 105,750,325.38
  5. Step 5: Solve for x
    x = 105,750,325.38/11,423.66
  6. Step 6: Final answer
    x = 9,257.13

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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.