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Finding the Fourth Proportional to 10,460.48, 15,674.52 and 6,080

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Solution

The fourth proportional to 10,460.48, 15,674.52 and 6,080 is: 9,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.48 : 15,674.52 = 6,080 : x
  2. Step 2: Convert to fraction form
    10,460.48/15,674.52 = 6,080/x
  3. Step 3: Cross multiply
    10,460.48x = 15,674.52 × 6,080
  4. Step 4: Simplify right side
    10,460.48x = 95,301,081.60
  5. Step 5: Solve for x
    x = 95,301,081.60/10,460.48
  6. Step 6: Final answer
    x = 9,110.58

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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.