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Finding the Fourth Proportional to 10,550.70, 14,561.76 and 6,077.04

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Solution

The fourth proportional to 10,550.70, 14,561.76 and 6,077.04 is: 8,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.70 : 14,561.76 = 6,077.04 : x
  2. Step 2: Convert to fraction form
    10,550.70/14,561.76 = 6,077.04/x
  3. Step 3: Cross multiply
    10,550.70x = 14,561.76 × 6,077.04
  4. Step 4: Simplify right side
    10,550.70x = 88,492,397.99
  5. Step 5: Solve for x
    x = 88,492,397.99/10,550.70
  6. Step 6: Final answer
    x = 8,387.35

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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.