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Finding the Fourth Proportional to 10,502.84, 15,753.98 and 4,261.19

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Solution

The fourth proportional to 10,502.84, 15,753.98 and 4,261.19 is: 6,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.84 : 15,753.98 = 4,261.19 : x
  2. Step 2: Convert to fraction form
    10,502.84/15,753.98 = 4,261.19/x
  3. Step 3: Cross multiply
    10,502.84x = 15,753.98 × 4,261.19
  4. Step 4: Simplify right side
    10,502.84x = 67,130,601.96
  5. Step 5: Solve for x
    x = 67,130,601.96/10,502.84
  6. Step 6: Final answer
    x = 6,391.66

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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.