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Finding the Fourth Proportional to 7,967.40, 10,999.89 and 5,135.76

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Solution

The fourth proportional to 7,967.40, 10,999.89 and 5,135.76 is: 7,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.40 : 10,999.89 = 5,135.76 : x
  2. Step 2: Convert to fraction form
    7,967.40/10,999.89 = 5,135.76/x
  3. Step 3: Cross multiply
    7,967.40x = 10,999.89 × 5,135.76
  4. Step 4: Simplify right side
    7,967.40x = 56,492,795.07
  5. Step 5: Solve for x
    x = 56,492,795.07/7,967.40
  6. Step 6: Final answer
    x = 7,090.49

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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.