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Finding the Fourth Proportional to 10,534.59, 14,537.00 and 5,818.50

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Solution

The fourth proportional to 10,534.59, 14,537.00 and 5,818.50 is: 8,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.59 : 14,537.00 = 5,818.50 : x
  2. Step 2: Convert to fraction form
    10,534.59/14,537.00 = 5,818.50/x
  3. Step 3: Cross multiply
    10,534.59x = 14,537.00 × 5,818.50
  4. Step 4: Simplify right side
    10,534.59x = 84,583,505.41
  5. Step 5: Solve for x
    x = 84,583,505.41/10,534.59
  6. Step 6: Final answer
    x = 8,029.12

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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.