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Finding the Fourth Proportional to 10,534.61, 14,537.93 and 5,818.92

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Solution

The fourth proportional to 10,534.61, 14,537.93 and 5,818.92 is: 8,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.61 : 14,537.93 = 5,818.92 : x
  2. Step 2: Convert to fraction form
    10,534.61/14,537.93 = 5,818.92/x
  3. Step 3: Cross multiply
    10,534.61x = 14,537.93 × 5,818.92
  4. Step 4: Simplify right side
    10,534.61x = 84,595,022.54
  5. Step 5: Solve for x
    x = 84,595,022.54/10,534.61
  6. Step 6: Final answer
    x = 8,030.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.