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Finding the Fourth Proportional to 11,271.80, 15,567.84 and 7,680.53

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Solution

The fourth proportional to 11,271.80, 15,567.84 and 7,680.53 is: 10,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.80 : 15,567.84 = 7,680.53 : x
  2. Step 2: Convert to fraction form
    11,271.80/15,567.84 = 7,680.53/x
  3. Step 3: Cross multiply
    11,271.80x = 15,567.84 × 7,680.53
  4. Step 4: Simplify right side
    11,271.80x = 119,569,262.16
  5. Step 5: Solve for x
    x = 119,569,262.16/11,271.80
  6. Step 6: Final answer
    x = 10,607.82

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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.