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Finding the Fourth Proportional to 7,565.80, 10,430.02 and 5,884.24

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Solution

The fourth proportional to 7,565.80, 10,430.02 and 5,884.24 is: 8,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.80 : 10,430.02 = 5,884.24 : x
  2. Step 2: Convert to fraction form
    7,565.80/10,430.02 = 5,884.24/x
  3. Step 3: Cross multiply
    7,565.80x = 10,430.02 × 5,884.24
  4. Step 4: Simplify right side
    7,565.80x = 61,372,740.88
  5. Step 5: Solve for x
    x = 61,372,740.88/7,565.80
  6. Step 6: Final answer
    x = 8,111.86

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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.