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Finding the Fourth Proportional to 10,534.71, 14,537.78 and 5,818.89

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Solution

The fourth proportional to 10,534.71, 14,537.78 and 5,818.89 is: 8,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.71 : 14,537.78 = 5,818.89 : x
  2. Step 2: Convert to fraction form
    10,534.71/14,537.78 = 5,818.89/x
  3. Step 3: Cross multiply
    10,534.71x = 14,537.78 × 5,818.89
  4. Step 4: Simplify right side
    10,534.71x = 84,593,713.57
  5. Step 5: Solve for x
    x = 84,593,713.57/10,534.71
  6. Step 6: Final answer
    x = 8,030.00

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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.