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Finding the Fourth Proportional to 10,005.95, 14,992.49 and 3,428.55

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Solution

The fourth proportional to 10,005.95, 14,992.49 and 3,428.55 is: 5,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.95 : 14,992.49 = 3,428.55 : x
  2. Step 2: Convert to fraction form
    10,005.95/14,992.49 = 3,428.55/x
  3. Step 3: Cross multiply
    10,005.95x = 14,992.49 × 3,428.55
  4. Step 4: Simplify right side
    10,005.95x = 51,402,510.16
  5. Step 5: Solve for x
    x = 51,402,510.16/10,005.95
  6. Step 6: Final answer
    x = 5,137.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.