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Finding the Fourth Proportional to 7,284.16, 10,910.70 and 5,332

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Solution

The fourth proportional to 7,284.16, 10,910.70 and 5,332 is: 7,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.16 : 10,910.70 = 5,332 : x
  2. Step 2: Convert to fraction form
    7,284.16/10,910.70 = 5,332/x
  3. Step 3: Cross multiply
    7,284.16x = 10,910.70 × 5,332
  4. Step 4: Simplify right side
    7,284.16x = 58,175,852.40
  5. Step 5: Solve for x
    x = 58,175,852.40/7,284.16
  6. Step 6: Final answer
    x = 7,986.62

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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.