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Finding the Fourth Proportional to 10,646.98, 15,969.84 and 4,070.18

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Solution

The fourth proportional to 10,646.98, 15,969.84 and 4,070.18 is: 6,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.98 : 15,969.84 = 4,070.18 : x
  2. Step 2: Convert to fraction form
    10,646.98/15,969.84 = 4,070.18/x
  3. Step 3: Cross multiply
    10,646.98x = 15,969.84 × 4,070.18
  4. Step 4: Simplify right side
    10,646.98x = 65,000,123.37
  5. Step 5: Solve for x
    x = 65,000,123.37/10,646.98
  6. Step 6: Final answer
    x = 6,105.03

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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.