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Finding the Fourth Proportional to 10,549.95, 14,560.70 and 6,072.87

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Solution

The fourth proportional to 10,549.95, 14,560.70 and 6,072.87 is: 8,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.95 : 14,560.70 = 6,072.87 : x
  2. Step 2: Convert to fraction form
    10,549.95/14,560.70 = 6,072.87/x
  3. Step 3: Cross multiply
    10,549.95x = 14,560.70 × 6,072.87
  4. Step 4: Simplify right side
    10,549.95x = 88,425,262.45
  5. Step 5: Solve for x
    x = 88,425,262.45/10,549.95
  6. Step 6: Final answer
    x = 8,381.58

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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.