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Finding the Fourth Proportional to 10,264.80, 15,386.49 and 7,446.81

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Solution

The fourth proportional to 10,264.80, 15,386.49 and 7,446.81 is: 11,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.80 : 15,386.49 = 7,446.81 : x
  2. Step 2: Convert to fraction form
    10,264.80/15,386.49 = 7,446.81/x
  3. Step 3: Cross multiply
    10,264.80x = 15,386.49 × 7,446.81
  4. Step 4: Simplify right side
    10,264.80x = 114,580,267.60
  5. Step 5: Solve for x
    x = 114,580,267.60/10,264.80
  6. Step 6: Final answer
    x = 11,162.45

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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.