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Finding the Fourth Proportional to 10,461.34, 15,692.01 and 3,065.80

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Solution

The fourth proportional to 10,461.34, 15,692.01 and 3,065.80 is: 4,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.34 : 15,692.01 = 3,065.80 : x
  2. Step 2: Convert to fraction form
    10,461.34/15,692.01 = 3,065.80/x
  3. Step 3: Cross multiply
    10,461.34x = 15,692.01 × 3,065.80
  4. Step 4: Simplify right side
    10,461.34x = 48,108,564.26
  5. Step 5: Solve for x
    x = 48,108,564.26/10,461.34
  6. Step 6: Final answer
    x = 4,598.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.