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Finding the Fourth Proportional to 11,482.61, 15,848.19 and 7,454.48

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Solution

The fourth proportional to 11,482.61, 15,848.19 and 7,454.48 is: 10,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.61 : 15,848.19 = 7,454.48 : x
  2. Step 2: Convert to fraction form
    11,482.61/15,848.19 = 7,454.48/x
  3. Step 3: Cross multiply
    11,482.61x = 15,848.19 × 7,454.48
  4. Step 4: Simplify right side
    11,482.61x = 118,139,936.15
  5. Step 5: Solve for x
    x = 118,139,936.15/11,482.61
  6. Step 6: Final answer
    x = 10,288.60

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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.