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Finding the Fourth Proportional to 11,468.28, 15,829.59 and 7,490.00

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Solution

The fourth proportional to 11,468.28, 15,829.59 and 7,490.00 is: 10,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.28 : 15,829.59 = 7,490.00 : x
  2. Step 2: Convert to fraction form
    11,468.28/15,829.59 = 7,490.00/x
  3. Step 3: Cross multiply
    11,468.28x = 15,829.59 × 7,490.00
  4. Step 4: Simplify right side
    11,468.28x = 118,563,549.95
  5. Step 5: Solve for x
    x = 118,563,549.95/11,468.28
  6. Step 6: Final answer
    x = 10,338.39

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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.