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Finding the Fourth Proportional to 7,610.56, 10,502.24 and 4,253.76

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Solution

The fourth proportional to 7,610.56, 10,502.24 and 4,253.76 is: 5,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.56 : 10,502.24 = 4,253.76 : x
  2. Step 2: Convert to fraction form
    7,610.56/10,502.24 = 4,253.76/x
  3. Step 3: Cross multiply
    7,610.56x = 10,502.24 × 4,253.76
  4. Step 4: Simplify right side
    7,610.56x = 44,674,008.42
  5. Step 5: Solve for x
    x = 44,674,008.42/7,610.56
  6. Step 6: Final answer
    x = 5,870.00

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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.