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Finding the Fourth Proportional to 7,721.35, 10,656 and 4,364.48

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Solution

The fourth proportional to 7,721.35, 10,656 and 4,364.48 is: 6,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721.35 : 10,656 = 4,364.48 : x
  2. Step 2: Convert to fraction form
    7,721.35/10,656 = 4,364.48/x
  3. Step 3: Cross multiply
    7,721.35x = 10,656 × 4,364.48
  4. Step 4: Simplify right side
    7,721.35x = 46,507,845.60
  5. Step 5: Solve for x
    x = 46,507,845.60/7,721.35
  6. Step 6: Final answer
    x = 6,023.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.