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Finding the Fourth Proportional to 10,357.57, 15,541.92 and 4,513.82

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Solution

The fourth proportional to 10,357.57, 15,541.92 and 4,513.82 is: 6,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.57 : 15,541.92 = 4,513.82 : x
  2. Step 2: Convert to fraction form
    10,357.57/15,541.92 = 4,513.82/x
  3. Step 3: Cross multiply
    10,357.57x = 15,541.92 × 4,513.82
  4. Step 4: Simplify right side
    10,357.57x = 70,153,406.77
  5. Step 5: Solve for x
    x = 70,153,406.77/10,357.57
  6. Step 6: Final answer
    x = 6,773.16

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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.