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Finding the Fourth Proportional to 10,646.10, 15,967.10 and 4,070.75

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Solution

The fourth proportional to 10,646.10, 15,967.10 and 4,070.75 is: 6,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.10 : 15,967.10 = 4,070.75 : x
  2. Step 2: Convert to fraction form
    10,646.10/15,967.10 = 4,070.75/x
  3. Step 3: Cross multiply
    10,646.10x = 15,967.10 × 4,070.75
  4. Step 4: Simplify right side
    10,646.10x = 64,997,972.14
  5. Step 5: Solve for x
    x = 64,997,972.14/10,646.10
  6. Step 6: Final answer
    x = 6,105.33

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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.