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Finding the Fourth Proportional to 10,482.59, 14,468.03 and 6,009.34

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Solution

The fourth proportional to 10,482.59, 14,468.03 and 6,009.34 is: 8,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.59 : 14,468.03 = 6,009.34 : x
  2. Step 2: Convert to fraction form
    10,482.59/14,468.03 = 6,009.34/x
  3. Step 3: Cross multiply
    10,482.59x = 14,468.03 × 6,009.34
  4. Step 4: Simplify right side
    10,482.59x = 86,943,311.40
  5. Step 5: Solve for x
    x = 86,943,311.40/10,482.59
  6. Step 6: Final answer
    x = 8,294.07

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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.