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Finding the Fourth Proportional to 10,574.16, 15,858.94 and 4,332.56

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Solution

The fourth proportional to 10,574.16, 15,858.94 and 4,332.56 is: 6,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.16 : 15,858.94 = 4,332.56 : x
  2. Step 2: Convert to fraction form
    10,574.16/15,858.94 = 4,332.56/x
  3. Step 3: Cross multiply
    10,574.16x = 15,858.94 × 4,332.56
  4. Step 4: Simplify right side
    10,574.16x = 68,709,809.09
  5. Step 5: Solve for x
    x = 68,709,809.09/10,574.16
  6. Step 6: Final answer
    x = 6,497.90

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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.