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Finding the Fourth Proportional to 10,643.24, 15,964.14 and 4,070.10

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Solution

The fourth proportional to 10,643.24, 15,964.14 and 4,070.10 is: 6,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.24 : 15,964.14 = 4,070.10 : x
  2. Step 2: Convert to fraction form
    10,643.24/15,964.14 = 4,070.10/x
  3. Step 3: Cross multiply
    10,643.24x = 15,964.14 × 4,070.10
  4. Step 4: Simplify right side
    10,643.24x = 64,975,646.21
  5. Step 5: Solve for x
    x = 64,975,646.21/10,643.24
  6. Step 6: Final answer
    x = 6,104.87

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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.