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Finding the Fourth Proportional to 10,328.56, 15,502.02 and 6,808.72

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Solution

The fourth proportional to 10,328.56, 15,502.02 and 6,808.72 is: 10,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.56 : 15,502.02 = 6,808.72 : x
  2. Step 2: Convert to fraction form
    10,328.56/15,502.02 = 6,808.72/x
  3. Step 3: Cross multiply
    10,328.56x = 15,502.02 × 6,808.72
  4. Step 4: Simplify right side
    10,328.56x = 105,548,913.61
  5. Step 5: Solve for x
    x = 105,548,913.61/10,328.56
  6. Step 6: Final answer
    x = 10,219.13

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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.