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Finding the Fourth Proportional to 7,502.77, 11,254.16 and 1,956.10

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Solution

The fourth proportional to 7,502.77, 11,254.16 and 1,956.10 is: 2,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.77 : 11,254.16 = 1,956.10 : x
  2. Step 2: Convert to fraction form
    7,502.77/11,254.16 = 1,956.10/x
  3. Step 3: Cross multiply
    7,502.77x = 11,254.16 × 1,956.10
  4. Step 4: Simplify right side
    7,502.77x = 22,014,262.38
  5. Step 5: Solve for x
    x = 22,014,262.38/7,502.77
  6. Step 6: Final answer
    x = 2,934.15

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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.