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Finding the Fourth Proportional to 8,762.88, 12,089.88 and 5,780.20

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Solution

The fourth proportional to 8,762.88, 12,089.88 and 5,780.20 is: 7,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.88 : 12,089.88 = 5,780.20 : x
  2. Step 2: Convert to fraction form
    8,762.88/12,089.88 = 5,780.20/x
  3. Step 3: Cross multiply
    8,762.88x = 12,089.88 × 5,780.20
  4. Step 4: Simplify right side
    8,762.88x = 69,881,924.38
  5. Step 5: Solve for x
    x = 69,881,924.38/8,762.88
  6. Step 6: Final answer
    x = 7,974.77

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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.