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Finding the Fourth Proportional to 10,484.84, 15,727.15 and 4,243.16

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Solution

The fourth proportional to 10,484.84, 15,727.15 and 4,243.16 is: 6,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.84 : 15,727.15 = 4,243.16 : x
  2. Step 2: Convert to fraction form
    10,484.84/15,727.15 = 4,243.16/x
  3. Step 3: Cross multiply
    10,484.84x = 15,727.15 × 4,243.16
  4. Step 4: Simplify right side
    10,484.84x = 66,732,808.22
  5. Step 5: Solve for x
    x = 66,732,808.22/10,484.84
  6. Step 6: Final answer
    x = 6,364.69

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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.