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Finding the Fourth Proportional to 10,005.60, 15,008.40 and 4,461.60

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Solution

The fourth proportional to 10,005.60, 15,008.40 and 4,461.60 is: 6,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.60 : 15,008.40 = 4,461.60 : x
  2. Step 2: Convert to fraction form
    10,005.60/15,008.40 = 4,461.60/x
  3. Step 3: Cross multiply
    10,005.60x = 15,008.40 × 4,461.60
  4. Step 4: Simplify right side
    10,005.60x = 66,961,477.44
  5. Step 5: Solve for x
    x = 66,961,477.44/10,005.60
  6. Step 6: Final answer
    x = 6,692.40

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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.