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Finding the Fourth Proportional to 10,543.14, 14,550.98 and 6,066.80

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Solution

The fourth proportional to 10,543.14, 14,550.98 and 6,066.80 is: 8,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.14 : 14,550.98 = 6,066.80 : x
  2. Step 2: Convert to fraction form
    10,543.14/14,550.98 = 6,066.80/x
  3. Step 3: Cross multiply
    10,543.14x = 14,550.98 × 6,066.80
  4. Step 4: Simplify right side
    10,543.14x = 88,277,885.46
  5. Step 5: Solve for x
    x = 88,277,885.46/10,543.14
  6. Step 6: Final answer
    x = 8,373.02

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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.