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Finding the Fourth Proportional to 7,653.14, 11,470.12 and 3,265.46

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Solution

The fourth proportional to 7,653.14, 11,470.12 and 3,265.46 is: 4,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.14 : 11,470.12 = 3,265.46 : x
  2. Step 2: Convert to fraction form
    7,653.14/11,470.12 = 3,265.46/x
  3. Step 3: Cross multiply
    7,653.14x = 11,470.12 × 3,265.46
  4. Step 4: Simplify right side
    7,653.14x = 37,455,218.06
  5. Step 5: Solve for x
    x = 37,455,218.06/7,653.14
  6. Step 6: Final answer
    x = 4,894.10

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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.