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Finding the Fourth Proportional to 10,852.13, 14,949.14 and 9,253.58

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Solution

The fourth proportional to 10,852.13, 14,949.14 and 9,253.58 is: 12,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.13 : 14,949.14 = 9,253.58 : x
  2. Step 2: Convert to fraction form
    10,852.13/14,949.14 = 9,253.58/x
  3. Step 3: Cross multiply
    10,852.13x = 14,949.14 × 9,253.58
  4. Step 4: Simplify right side
    10,852.13x = 138,332,941.91
  5. Step 5: Solve for x
    x = 138,332,941.91/10,852.13
  6. Step 6: Final answer
    x = 12,747.07

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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.