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Finding the Fourth Proportional to 10,646.56, 15,958.88 and 4,070.96

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Solution

The fourth proportional to 10,646.56, 15,958.88 and 4,070.96 is: 6,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.56 : 15,958.88 = 4,070.96 : x
  2. Step 2: Convert to fraction form
    10,646.56/15,958.88 = 4,070.96/x
  3. Step 3: Cross multiply
    10,646.56x = 15,958.88 × 4,070.96
  4. Step 4: Simplify right side
    10,646.56x = 64,967,962.12
  5. Step 5: Solve for x
    x = 64,967,962.12/10,646.56
  6. Step 6: Final answer
    x = 6,102.25

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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.