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Finding the Fourth Proportional to 10,060.84, 13,884 and 5,584.65

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Solution

The fourth proportional to 10,060.84, 13,884 and 5,584.65 is: 7,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.84 : 13,884 = 5,584.65 : x
  2. Step 2: Convert to fraction form
    10,060.84/13,884 = 5,584.65/x
  3. Step 3: Cross multiply
    10,060.84x = 13,884 × 5,584.65
  4. Step 4: Simplify right side
    10,060.84x = 77,537,280.60
  5. Step 5: Solve for x
    x = 77,537,280.60/10,060.84
  6. Step 6: Final answer
    x = 7,706.84

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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.