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Finding the Fourth Proportional to 8,907.84, 12,279.58 and 7,642.80

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Solution

The fourth proportional to 8,907.84, 12,279.58 and 7,642.80 is: 10,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.84 : 12,279.58 = 7,642.80 : x
  2. Step 2: Convert to fraction form
    8,907.84/12,279.58 = 7,642.80/x
  3. Step 3: Cross multiply
    8,907.84x = 12,279.58 × 7,642.80
  4. Step 4: Simplify right side
    8,907.84x = 93,850,374.02
  5. Step 5: Solve for x
    x = 93,850,374.02/8,907.84
  6. Step 6: Final answer
    x = 10,535.70

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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.