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Finding the Fourth Proportional to 7,710.84, 10,641.02 and 4,261.55

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Solution

The fourth proportional to 7,710.84, 10,641.02 and 4,261.55 is: 5,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.84 : 10,641.02 = 4,261.55 : x
  2. Step 2: Convert to fraction form
    7,710.84/10,641.02 = 4,261.55/x
  3. Step 3: Cross multiply
    7,710.84x = 10,641.02 × 4,261.55
  4. Step 4: Simplify right side
    7,710.84x = 45,347,164.27
  5. Step 5: Solve for x
    x = 45,347,164.27/7,710.84
  6. Step 6: Final answer
    x = 5,880.96

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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.