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Finding the Fourth Proportional to 10,985.40, 16,486.20 and 4,416.30

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Solution

The fourth proportional to 10,985.40, 16,486.20 and 4,416.30 is: 6,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.40 : 16,486.20 = 4,416.30 : x
  2. Step 2: Convert to fraction form
    10,985.40/16,486.20 = 4,416.30/x
  3. Step 3: Cross multiply
    10,985.40x = 16,486.20 × 4,416.30
  4. Step 4: Simplify right side
    10,985.40x = 72,808,005.06
  5. Step 5: Solve for x
    x = 72,808,005.06/10,985.40
  6. Step 6: Final answer
    x = 6,627.71

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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.