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Finding the Fourth Proportional to 7,773.75, 11,663.48 and 4,854.51

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Solution

The fourth proportional to 7,773.75, 11,663.48 and 4,854.51 is: 7,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.75 : 11,663.48 = 4,854.51 : x
  2. Step 2: Convert to fraction form
    7,773.75/11,663.48 = 4,854.51/x
  3. Step 3: Cross multiply
    7,773.75x = 11,663.48 × 4,854.51
  4. Step 4: Simplify right side
    7,773.75x = 56,620,480.29
  5. Step 5: Solve for x
    x = 56,620,480.29/7,773.75
  6. Step 6: Final answer
    x = 7,283.55

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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.