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Finding the Fourth Proportional to 7,966.32, 11,945.40 and 4,680.40

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Solution

The fourth proportional to 7,966.32, 11,945.40 and 4,680.40 is: 7,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.32 : 11,945.40 = 4,680.40 : x
  2. Step 2: Convert to fraction form
    7,966.32/11,945.40 = 4,680.40/x
  3. Step 3: Cross multiply
    7,966.32x = 11,945.40 × 4,680.40
  4. Step 4: Simplify right side
    7,966.32x = 55,909,250.16
  5. Step 5: Solve for x
    x = 55,909,250.16/7,966.32
  6. Step 6: Final answer
    x = 7,018.20

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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.