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Finding the Fourth Proportional to 10,281.66, 15,416.64 and 3,260.34

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Solution

The fourth proportional to 10,281.66, 15,416.64 and 3,260.34 is: 4,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.66 : 15,416.64 = 3,260.34 : x
  2. Step 2: Convert to fraction form
    10,281.66/15,416.64 = 3,260.34/x
  3. Step 3: Cross multiply
    10,281.66x = 15,416.64 × 3,260.34
  4. Step 4: Simplify right side
    10,281.66x = 50,263,488.06
  5. Step 5: Solve for x
    x = 50,263,488.06/10,281.66
  6. Step 6: Final answer
    x = 4,888.65

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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.