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Finding the Fourth Proportional to 7,721.71, 10,655.67 and 4,184.84

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Solution

The fourth proportional to 7,721.71, 10,655.67 and 4,184.84 is: 5,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721.71 : 10,655.67 = 4,184.84 : x
  2. Step 2: Convert to fraction form
    7,721.71/10,655.67 = 4,184.84/x
  3. Step 3: Cross multiply
    7,721.71x = 10,655.67 × 4,184.84
  4. Step 4: Simplify right side
    7,721.71x = 44,592,292.84
  5. Step 5: Solve for x
    x = 44,592,292.84/7,721.71
  6. Step 6: Final answer
    x = 5,774.93

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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.