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Finding the Fourth Proportional to 10,624.84, 15,937.12 and 4,777.32

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Solution

The fourth proportional to 10,624.84, 15,937.12 and 4,777.32 is: 7,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.84 : 15,937.12 = 4,777.32 : x
  2. Step 2: Convert to fraction form
    10,624.84/15,937.12 = 4,777.32/x
  3. Step 3: Cross multiply
    10,624.84x = 15,937.12 × 4,777.32
  4. Step 4: Simplify right side
    10,624.84x = 76,136,722.12
  5. Step 5: Solve for x
    x = 76,136,722.12/10,624.84
  6. Step 6: Final answer
    x = 7,165.92

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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.