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Finding the Fourth Proportional to 7,590.16, 11,382.54 and 4,659.64

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Solution

The fourth proportional to 7,590.16, 11,382.54 and 4,659.64 is: 6,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.16 : 11,382.54 = 4,659.64 : x
  2. Step 2: Convert to fraction form
    7,590.16/11,382.54 = 4,659.64/x
  3. Step 3: Cross multiply
    7,590.16x = 11,382.54 × 4,659.64
  4. Step 4: Simplify right side
    7,590.16x = 53,038,538.69
  5. Step 5: Solve for x
    x = 53,038,538.69/7,590.16
  6. Step 6: Final answer
    x = 6,987.80

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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.