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Finding the Fourth Proportional to 7,523.12, 10,384.80 and 4,728.08

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Solution

The fourth proportional to 7,523.12, 10,384.80 and 4,728.08 is: 6,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.12 : 10,384.80 = 4,728.08 : x
  2. Step 2: Convert to fraction form
    7,523.12/10,384.80 = 4,728.08/x
  3. Step 3: Cross multiply
    7,523.12x = 10,384.80 × 4,728.08
  4. Step 4: Simplify right side
    7,523.12x = 49,100,165.18
  5. Step 5: Solve for x
    x = 49,100,165.18/7,523.12
  6. Step 6: Final answer
    x = 6,526.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.