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Finding the Fourth Proportional to 10,502.48, 14,492.84 and 5,786.40

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Solution

The fourth proportional to 10,502.48, 14,492.84 and 5,786.40 is: 7,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.48 : 14,492.84 = 5,786.40 : x
  2. Step 2: Convert to fraction form
    10,502.48/14,492.84 = 5,786.40/x
  3. Step 3: Cross multiply
    10,502.48x = 14,492.84 × 5,786.40
  4. Step 4: Simplify right side
    10,502.48x = 83,861,369.38
  5. Step 5: Solve for x
    x = 83,861,369.38/10,502.48
  6. Step 6: Final answer
    x = 7,984.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.