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Finding the Fourth Proportional to 11,331.04, 15,598.02 and 9,830.11

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Solution

The fourth proportional to 11,331.04, 15,598.02 and 9,830.11 is: 13,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.04 : 15,598.02 = 9,830.11 : x
  2. Step 2: Convert to fraction form
    11,331.04/15,598.02 = 9,830.11/x
  3. Step 3: Cross multiply
    11,331.04x = 15,598.02 × 9,830.11
  4. Step 4: Simplify right side
    11,331.04x = 153,330,252.38
  5. Step 5: Solve for x
    x = 153,330,252.38/11,331.04
  6. Step 6: Final answer
    x = 13,531.88

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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.