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Finding the Fourth Proportional to 10,730.22, 14,792.58 and 9,253.86

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Solution

The fourth proportional to 10,730.22, 14,792.58 and 9,253.86 is: 12,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.22 : 14,792.58 = 9,253.86 : x
  2. Step 2: Convert to fraction form
    10,730.22/14,792.58 = 9,253.86/x
  3. Step 3: Cross multiply
    10,730.22x = 14,792.58 × 9,253.86
  4. Step 4: Simplify right side
    10,730.22x = 136,888,464.36
  5. Step 5: Solve for x
    x = 136,888,464.36/10,730.22
  6. Step 6: Final answer
    x = 12,757.28

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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.