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Finding the Fourth Proportional to 8,953.71, 13,430.57 and 3,110.31

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Solution

The fourth proportional to 8,953.71, 13,430.57 and 3,110.31 is: 4,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.71 : 13,430.57 = 3,110.31 : x
  2. Step 2: Convert to fraction form
    8,953.71/13,430.57 = 3,110.31/x
  3. Step 3: Cross multiply
    8,953.71x = 13,430.57 × 3,110.31
  4. Step 4: Simplify right side
    8,953.71x = 41,773,220.63
  5. Step 5: Solve for x
    x = 41,773,220.63/8,953.71
  6. Step 6: Final answer
    x = 4,665.47

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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.