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Finding the Fourth Proportional to 7,575.63, 11,365.72 and 4,577.01

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Solution

The fourth proportional to 7,575.63, 11,365.72 and 4,577.01 is: 6,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.63 : 11,365.72 = 4,577.01 : x
  2. Step 2: Convert to fraction form
    7,575.63/11,365.72 = 4,577.01/x
  3. Step 3: Cross multiply
    7,575.63x = 11,365.72 × 4,577.01
  4. Step 4: Simplify right side
    7,575.63x = 52,020,960.03
  5. Step 5: Solve for x
    x = 52,020,960.03/7,575.63
  6. Step 6: Final answer
    x = 6,866.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.