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Finding the Fourth Proportional to 10,309.84, 15,464.76 and 4,841.68

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Solution

The fourth proportional to 10,309.84, 15,464.76 and 4,841.68 is: 7,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.84 : 15,464.76 = 4,841.68 : x
  2. Step 2: Convert to fraction form
    10,309.84/15,464.76 = 4,841.68/x
  3. Step 3: Cross multiply
    10,309.84x = 15,464.76 × 4,841.68
  4. Step 4: Simplify right side
    10,309.84x = 74,875,419.20
  5. Step 5: Solve for x
    x = 74,875,419.20/10,309.84
  6. Step 6: Final answer
    x = 7,262.52

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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.