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Finding the Fourth Proportional to 11,368.38, 15,674.64 and 9,482.70

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Solution

The fourth proportional to 11,368.38, 15,674.64 and 9,482.70 is: 13,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.38 : 15,674.64 = 9,482.70 : x
  2. Step 2: Convert to fraction form
    11,368.38/15,674.64 = 9,482.70/x
  3. Step 3: Cross multiply
    11,368.38x = 15,674.64 × 9,482.70
  4. Step 4: Simplify right side
    11,368.38x = 148,637,908.73
  5. Step 5: Solve for x
    x = 148,637,908.73/11,368.38
  6. Step 6: Final answer
    x = 13,074.68

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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.