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Finding the Fourth Proportional to 10,732.06, 14,810.27 and 5,952.34

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Solution

The fourth proportional to 10,732.06, 14,810.27 and 5,952.34 is: 8,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.06 : 14,810.27 = 5,952.34 : x
  2. Step 2: Convert to fraction form
    10,732.06/14,810.27 = 5,952.34/x
  3. Step 3: Cross multiply
    10,732.06x = 14,810.27 × 5,952.34
  4. Step 4: Simplify right side
    10,732.06x = 88,155,762.53
  5. Step 5: Solve for x
    x = 88,155,762.53/10,732.06
  6. Step 6: Final answer
    x = 8,214.24

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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.