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Finding the Fourth Proportional to 11,907.90, 16,430.76 and 6,872.40

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Solution

The fourth proportional to 11,907.90, 16,430.76 and 6,872.40 is: 9,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.90 : 16,430.76 = 6,872.40 : x
  2. Step 2: Convert to fraction form
    11,907.90/16,430.76 = 6,872.40/x
  3. Step 3: Cross multiply
    11,907.90x = 16,430.76 × 6,872.40
  4. Step 4: Simplify right side
    11,907.90x = 112,918,755.02
  5. Step 5: Solve for x
    x = 112,918,755.02/11,907.90
  6. Step 6: Final answer
    x = 9,482.68

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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.