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Finding the Fourth Proportional to 10,553.10, 14,564.86 and 6,575.50

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Solution

The fourth proportional to 10,553.10, 14,564.86 and 6,575.50 is: 9,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.10 : 14,564.86 = 6,575.50 : x
  2. Step 2: Convert to fraction form
    10,553.10/14,564.86 = 6,575.50/x
  3. Step 3: Cross multiply
    10,553.10x = 14,564.86 × 6,575.50
  4. Step 4: Simplify right side
    10,553.10x = 95,771,236.93
  5. Step 5: Solve for x
    x = 95,771,236.93/10,553.10
  6. Step 6: Final answer
    x = 9,075.18

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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.