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Finding the Fourth Proportional to 10,706.12, 14,775.54 and 6,730.28

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Solution

The fourth proportional to 10,706.12, 14,775.54 and 6,730.28 is: 9,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.12 : 14,775.54 = 6,730.28 : x
  2. Step 2: Convert to fraction form
    10,706.12/14,775.54 = 6,730.28/x
  3. Step 3: Cross multiply
    10,706.12x = 14,775.54 × 6,730.28
  4. Step 4: Simplify right side
    10,706.12x = 99,443,521.35
  5. Step 5: Solve for x
    x = 99,443,521.35/10,706.12
  6. Step 6: Final answer
    x = 9,288.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.