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Finding the Fourth Proportional to 10,643.96, 15,966.06 and 4,070.48

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Solution

The fourth proportional to 10,643.96, 15,966.06 and 4,070.48 is: 6,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.96 : 15,966.06 = 4,070.48 : x
  2. Step 2: Convert to fraction form
    10,643.96/15,966.06 = 4,070.48/x
  3. Step 3: Cross multiply
    10,643.96x = 15,966.06 × 4,070.48
  4. Step 4: Simplify right side
    10,643.96x = 64,989,527.91
  5. Step 5: Solve for x
    x = 64,989,527.91/10,643.96
  6. Step 6: Final answer
    x = 6,105.77

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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.