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Finding the Fourth Proportional to 7,661.64, 11,477.88 and 7,302

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Solution

The fourth proportional to 7,661.64, 11,477.88 and 7,302 is: 10,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.64 : 11,477.88 = 7,302 : x
  2. Step 2: Convert to fraction form
    7,661.64/11,477.88 = 7,302/x
  3. Step 3: Cross multiply
    7,661.64x = 11,477.88 × 7,302
  4. Step 4: Simplify right side
    7,661.64x = 83,811,479.76
  5. Step 5: Solve for x
    x = 83,811,479.76/7,661.64
  6. Step 6: Final answer
    x = 10,939.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.