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Finding the Fourth Proportional to 10,710.63, 16,066.08 and 4,471.74

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Solution

The fourth proportional to 10,710.63, 16,066.08 and 4,471.74 is: 6,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.63 : 16,066.08 = 4,471.74 : x
  2. Step 2: Convert to fraction form
    10,710.63/16,066.08 = 4,471.74/x
  3. Step 3: Cross multiply
    10,710.63x = 16,066.08 × 4,471.74
  4. Step 4: Simplify right side
    10,710.63x = 71,843,332.58
  5. Step 5: Solve for x
    x = 71,843,332.58/10,710.63
  6. Step 6: Final answer
    x = 6,707.67

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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.