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Finding the Fourth Proportional to 8,952.84, 12,353.04 and 5,416.32

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Solution

The fourth proportional to 8,952.84, 12,353.04 and 5,416.32 is: 7,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.84 : 12,353.04 = 5,416.32 : x
  2. Step 2: Convert to fraction form
    8,952.84/12,353.04 = 5,416.32/x
  3. Step 3: Cross multiply
    8,952.84x = 12,353.04 × 5,416.32
  4. Step 4: Simplify right side
    8,952.84x = 66,908,017.61
  5. Step 5: Solve for x
    x = 66,908,017.61/8,952.84
  6. Step 6: Final answer
    x = 7,473.38

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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.