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Finding the Fourth Proportional to 10,570.42, 15,856.04 and 4,727.08

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Solution

The fourth proportional to 10,570.42, 15,856.04 and 4,727.08 is: 7,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.42 : 15,856.04 = 4,727.08 : x
  2. Step 2: Convert to fraction form
    10,570.42/15,856.04 = 4,727.08/x
  3. Step 3: Cross multiply
    10,570.42x = 15,856.04 × 4,727.08
  4. Step 4: Simplify right side
    10,570.42x = 74,952,769.56
  5. Step 5: Solve for x
    x = 74,952,769.56/10,570.42
  6. Step 6: Final answer
    x = 7,090.80

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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.