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Finding the Fourth Proportional to 10,280.94, 15,392.76 and 6,574.02

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Solution

The fourth proportional to 10,280.94, 15,392.76 and 6,574.02 is: 9,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.94 : 15,392.76 = 6,574.02 : x
  2. Step 2: Convert to fraction form
    10,280.94/15,392.76 = 6,574.02/x
  3. Step 3: Cross multiply
    10,280.94x = 15,392.76 × 6,574.02
  4. Step 4: Simplify right side
    10,280.94x = 101,192,312.10
  5. Step 5: Solve for x
    x = 101,192,312.10/10,280.94
  6. Step 6: Final answer
    x = 9,842.71

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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.