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Finding the Fourth Proportional to 8,724, 13,085.96 and 4,836.63

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Solution

The fourth proportional to 8,724, 13,085.96 and 4,836.63 is: 7,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724 : 13,085.96 = 4,836.63 : x
  2. Step 2: Convert to fraction form
    8,724/13,085.96 = 4,836.63/x
  3. Step 3: Cross multiply
    8,724x = 13,085.96 × 4,836.63
  4. Step 4: Simplify right side
    8,724x = 63,291,922.53
  5. Step 5: Solve for x
    x = 63,291,922.53/8,724
  6. Step 6: Final answer
    x = 7,254.92

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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.