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Finding the Fourth Proportional to 7,565.67, 11,326.59 and 6,319.08

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Solution

The fourth proportional to 7,565.67, 11,326.59 and 6,319.08 is: 9,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.67 : 11,326.59 = 6,319.08 : x
  2. Step 2: Convert to fraction form
    7,565.67/11,326.59 = 6,319.08/x
  3. Step 3: Cross multiply
    7,565.67x = 11,326.59 × 6,319.08
  4. Step 4: Simplify right side
    7,565.67x = 71,573,628.34
  5. Step 5: Solve for x
    x = 71,573,628.34/7,565.67
  6. Step 6: Final answer
    x = 9,460.32

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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.