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Finding the Fourth Proportional to 10,461.42, 15,692.40 and 4,618.08

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Solution

The fourth proportional to 10,461.42, 15,692.40 and 4,618.08 is: 6,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.42 : 15,692.40 = 4,618.08 : x
  2. Step 2: Convert to fraction form
    10,461.42/15,692.40 = 4,618.08/x
  3. Step 3: Cross multiply
    10,461.42x = 15,692.40 × 4,618.08
  4. Step 4: Simplify right side
    10,461.42x = 72,468,758.59
  5. Step 5: Solve for x
    x = 72,468,758.59/10,461.42
  6. Step 6: Final answer
    x = 6,927.24

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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.