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Finding the Fourth Proportional to 12,582.24, 17,363.82 and 7,277.40

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Solution

The fourth proportional to 12,582.24, 17,363.82 and 7,277.40 is: 10,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.24 : 17,363.82 = 7,277.40 : x
  2. Step 2: Convert to fraction form
    12,582.24/17,363.82 = 7,277.40/x
  3. Step 3: Cross multiply
    12,582.24x = 17,363.82 × 7,277.40
  4. Step 4: Simplify right side
    12,582.24x = 126,363,463.67
  5. Step 5: Solve for x
    x = 126,363,463.67/12,582.24
  6. Step 6: Final answer
    x = 10,043.00

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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.