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Finding the Fourth Proportional to 10,482.83, 14,466.62 and 5,703.12

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Solution

The fourth proportional to 10,482.83, 14,466.62 and 5,703.12 is: 7,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.83 : 14,466.62 = 5,703.12 : x
  2. Step 2: Convert to fraction form
    10,482.83/14,466.62 = 5,703.12/x
  3. Step 3: Cross multiply
    10,482.83x = 14,466.62 × 5,703.12
  4. Step 4: Simplify right side
    10,482.83x = 82,504,884.11
  5. Step 5: Solve for x
    x = 82,504,884.11/10,482.83
  6. Step 6: Final answer
    x = 7,870.48

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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.