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Finding the Fourth Proportional to 8,670.38, 11,966.54 and 5,315.04

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Solution

The fourth proportional to 8,670.38, 11,966.54 and 5,315.04 is: 7,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.38 : 11,966.54 = 5,315.04 : x
  2. Step 2: Convert to fraction form
    8,670.38/11,966.54 = 5,315.04/x
  3. Step 3: Cross multiply
    8,670.38x = 11,966.54 × 5,315.04
  4. Step 4: Simplify right side
    8,670.38x = 63,602,612.19
  5. Step 5: Solve for x
    x = 63,602,612.19/8,670.38
  6. Step 6: Final answer
    x = 7,335.62

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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.