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Finding the Fourth Proportional to 11,376, 15,703.20 and 7,652.16

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Solution

The fourth proportional to 11,376, 15,703.20 and 7,652.16 is: 10,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376 : 15,703.20 = 7,652.16 : x
  2. Step 2: Convert to fraction form
    11,376/15,703.20 = 7,652.16/x
  3. Step 3: Cross multiply
    11,376x = 15,703.20 × 7,652.16
  4. Step 4: Simplify right side
    11,376x = 120,163,398.91
  5. Step 5: Solve for x
    x = 120,163,398.91/11,376
  6. Step 6: Final answer
    x = 10,562.89

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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.