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Finding the Fourth Proportional to 10,482.25, 14,465.55 and 5,766.88

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Solution

The fourth proportional to 10,482.25, 14,465.55 and 5,766.88 is: 7,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.25 : 14,465.55 = 5,766.88 : x
  2. Step 2: Convert to fraction form
    10,482.25/14,465.55 = 5,766.88/x
  3. Step 3: Cross multiply
    10,482.25x = 14,465.55 × 5,766.88
  4. Step 4: Simplify right side
    10,482.25x = 83,421,090.98
  5. Step 5: Solve for x
    x = 83,421,090.98/10,482.25
  6. Step 6: Final answer
    x = 7,958.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.