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Finding the Fourth Proportional to 10,517.53, 14,509.58 and 6,687.11

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Solution

The fourth proportional to 10,517.53, 14,509.58 and 6,687.11 is: 9,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.53 : 14,509.58 = 6,687.11 : x
  2. Step 2: Convert to fraction form
    10,517.53/14,509.58 = 6,687.11/x
  3. Step 3: Cross multiply
    10,517.53x = 14,509.58 × 6,687.11
  4. Step 4: Simplify right side
    10,517.53x = 97,027,210.51
  5. Step 5: Solve for x
    x = 97,027,210.51/10,517.53
  6. Step 6: Final answer
    x = 9,225.29

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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.