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Finding the Fourth Proportional to 10,552.87, 14,560.72 and 6,302.80

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Solution

The fourth proportional to 10,552.87, 14,560.72 and 6,302.80 is: 8,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.87 : 14,560.72 = 6,302.80 : x
  2. Step 2: Convert to fraction form
    10,552.87/14,560.72 = 6,302.80/x
  3. Step 3: Cross multiply
    10,552.87x = 14,560.72 × 6,302.80
  4. Step 4: Simplify right side
    10,552.87x = 91,773,306.02
  5. Step 5: Solve for x
    x = 91,773,306.02/10,552.87
  6. Step 6: Final answer
    x = 8,696.53

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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.