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Finding the Fourth Proportional to 8,607.65, 11,848.29 and 7,542.89

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Solution

The fourth proportional to 8,607.65, 11,848.29 and 7,542.89 is: 10,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,607.65 : 11,848.29 = 7,542.89 : x
  2. Step 2: Convert to fraction form
    8,607.65/11,848.29 = 7,542.89/x
  3. Step 3: Cross multiply
    8,607.65x = 11,848.29 × 7,542.89
  4. Step 4: Simplify right side
    8,607.65x = 89,370,348.16
  5. Step 5: Solve for x
    x = 89,370,348.16/8,607.65
  6. Step 6: Final answer
    x = 10,382.67

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Why These Related Problems?

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