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Finding the Fourth Proportional to 10,552.12, 14,562.65 and 6,077.05

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Solution

The fourth proportional to 10,552.12, 14,562.65 and 6,077.05 is: 8,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.12 : 14,562.65 = 6,077.05 : x
  2. Step 2: Convert to fraction form
    10,552.12/14,562.65 = 6,077.05/x
  3. Step 3: Cross multiply
    10,552.12x = 14,562.65 × 6,077.05
  4. Step 4: Simplify right side
    10,552.12x = 88,497,952.18
  5. Step 5: Solve for x
    x = 88,497,952.18/10,552.12
  6. Step 6: Final answer
    x = 8,386.75

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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.