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Finding the Fourth Proportional to 8,971.49, 13,448.52 and 5,024.63

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Solution

The fourth proportional to 8,971.49, 13,448.52 and 5,024.63 is: 7,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.49 : 13,448.52 = 5,024.63 : x
  2. Step 2: Convert to fraction form
    8,971.49/13,448.52 = 5,024.63/x
  3. Step 3: Cross multiply
    8,971.49x = 13,448.52 × 5,024.63
  4. Step 4: Simplify right side
    8,971.49x = 67,573,870.67
  5. Step 5: Solve for x
    x = 67,573,870.67/8,971.49
  6. Step 6: Final answer
    x = 7,532.07

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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.