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Finding the Fourth Proportional to 10,459.68, 15,685.39 and 4,218.54

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Solution

The fourth proportional to 10,459.68, 15,685.39 and 4,218.54 is: 6,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.68 : 15,685.39 = 4,218.54 : x
  2. Step 2: Convert to fraction form
    10,459.68/15,685.39 = 4,218.54/x
  3. Step 3: Cross multiply
    10,459.68x = 15,685.39 × 4,218.54
  4. Step 4: Simplify right side
    10,459.68x = 66,169,445.13
  5. Step 5: Solve for x
    x = 66,169,445.13/10,459.68
  6. Step 6: Final answer
    x = 6,326.14

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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.