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Finding the Fourth Proportional to 10,659.48, 15,980.10 and 4,090.38

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Solution

The fourth proportional to 10,659.48, 15,980.10 and 4,090.38 is: 6,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.48 : 15,980.10 = 4,090.38 : x
  2. Step 2: Convert to fraction form
    10,659.48/15,980.10 = 4,090.38/x
  3. Step 3: Cross multiply
    10,659.48x = 15,980.10 × 4,090.38
  4. Step 4: Simplify right side
    10,659.48x = 65,364,681.44
  5. Step 5: Solve for x
    x = 65,364,681.44/10,659.48
  6. Step 6: Final answer
    x = 6,132.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.