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Finding the Fourth Proportional to 10,543.86, 14,550.08 and 6,064.56

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Solution

The fourth proportional to 10,543.86, 14,550.08 and 6,064.56 is: 8,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.86 : 14,550.08 = 6,064.56 : x
  2. Step 2: Convert to fraction form
    10,543.86/14,550.08 = 6,064.56/x
  3. Step 3: Cross multiply
    10,543.86x = 14,550.08 × 6,064.56
  4. Step 4: Simplify right side
    10,543.86x = 88,239,802.84
  5. Step 5: Solve for x
    x = 88,239,802.84/10,543.86
  6. Step 6: Final answer
    x = 8,368.83

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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.