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Finding the Fourth Proportional to 10,501.71, 15,754.16 and 3,574.59

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Solution

The fourth proportional to 10,501.71, 15,754.16 and 3,574.59 is: 5,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.71 : 15,754.16 = 3,574.59 : x
  2. Step 2: Convert to fraction form
    10,501.71/15,754.16 = 3,574.59/x
  3. Step 3: Cross multiply
    10,501.71x = 15,754.16 × 3,574.59
  4. Step 4: Simplify right side
    10,501.71x = 56,314,662.79
  5. Step 5: Solve for x
    x = 56,314,662.79/10,501.71
  6. Step 6: Final answer
    x = 5,362.43

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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.