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Finding the Fourth Proportional to 8,480, 11,703.48 and 4,754

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Solution

The fourth proportional to 8,480, 11,703.48 and 4,754 is: 6,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480 : 11,703.48 = 4,754 : x
  2. Step 2: Convert to fraction form
    8,480/11,703.48 = 4,754/x
  3. Step 3: Cross multiply
    8,480x = 11,703.48 × 4,754
  4. Step 4: Simplify right side
    8,480x = 55,638,343.92
  5. Step 5: Solve for x
    x = 55,638,343.92/8,480
  6. Step 6: Final answer
    x = 6,561.13

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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.