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Finding the Fourth Proportional to 10,537.21, 14,543.63 and 7,188.04

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Solution

The fourth proportional to 10,537.21, 14,543.63 and 7,188.04 is: 9,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.21 : 14,543.63 = 7,188.04 : x
  2. Step 2: Convert to fraction form
    10,537.21/14,543.63 = 7,188.04/x
  3. Step 3: Cross multiply
    10,537.21x = 14,543.63 × 7,188.04
  4. Step 4: Simplify right side
    10,537.21x = 104,540,194.19
  5. Step 5: Solve for x
    x = 104,540,194.19/10,537.21
  6. Step 6: Final answer
    x = 9,921.05

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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.