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Finding the Fourth Proportional to 8,953.64, 13,430.05 and 3,110.71

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Solution

The fourth proportional to 8,953.64, 13,430.05 and 3,110.71 is: 4,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.64 : 13,430.05 = 3,110.71 : x
  2. Step 2: Convert to fraction form
    8,953.64/13,430.05 = 3,110.71/x
  3. Step 3: Cross multiply
    8,953.64x = 13,430.05 × 3,110.71
  4. Step 4: Simplify right side
    8,953.64x = 41,776,990.84
  5. Step 5: Solve for x
    x = 41,776,990.84/8,953.64
  6. Step 6: Final answer
    x = 4,665.92

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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.