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Finding the Fourth Proportional to 10,005.40, 14,930.51 and 8,277.40

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Solution

The fourth proportional to 10,005.40, 14,930.51 and 8,277.40 is: 12,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.40 : 14,930.51 = 8,277.40 : x
  2. Step 2: Convert to fraction form
    10,005.40/14,930.51 = 8,277.40/x
  3. Step 3: Cross multiply
    10,005.40x = 14,930.51 × 8,277.40
  4. Step 4: Simplify right side
    10,005.40x = 123,585,803.47
  5. Step 5: Solve for x
    x = 123,585,803.47/10,005.40
  6. Step 6: Final answer
    x = 12,351.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.