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Finding the Fourth Proportional to 7,559.64, 10,432.65 and 4,202.50

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Solution

The fourth proportional to 7,559.64, 10,432.65 and 4,202.50 is: 5,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.64 : 10,432.65 = 4,202.50 : x
  2. Step 2: Convert to fraction form
    7,559.64/10,432.65 = 4,202.50/x
  3. Step 3: Cross multiply
    7,559.64x = 10,432.65 × 4,202.50
  4. Step 4: Simplify right side
    7,559.64x = 43,843,211.63
  5. Step 5: Solve for x
    x = 43,843,211.63/7,559.64
  6. Step 6: Final answer
    x = 5,799.64

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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.