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Finding the Fourth Proportional to 7,101, 10,646.64 and 3,980.88

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Solution

The fourth proportional to 7,101, 10,646.64 and 3,980.88 is: 5,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101 : 10,646.64 = 3,980.88 : x
  2. Step 2: Convert to fraction form
    7,101/10,646.64 = 3,980.88/x
  3. Step 3: Cross multiply
    7,101x = 10,646.64 × 3,980.88
  4. Step 4: Simplify right side
    7,101x = 42,382,996.24
  5. Step 5: Solve for x
    x = 42,382,996.24/7,101
  6. Step 6: Final answer
    x = 5,968.60

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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.