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Finding the Fourth Proportional to 11,765.76, 17,646.64 and 4,368.48

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Solution

The fourth proportional to 11,765.76, 17,646.64 and 4,368.48 is: 6,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.76 : 17,646.64 = 4,368.48 : x
  2. Step 2: Convert to fraction form
    11,765.76/17,646.64 = 4,368.48/x
  3. Step 3: Cross multiply
    11,765.76x = 17,646.64 × 4,368.48
  4. Step 4: Simplify right side
    11,765.76x = 77,088,993.91
  5. Step 5: Solve for x
    x = 77,088,993.91/11,765.76
  6. Step 6: Final answer
    x = 6,551.98

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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.