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Finding the Fourth Proportional to 7,575.90, 11,365.06 and 4,657.47

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Solution

The fourth proportional to 7,575.90, 11,365.06 and 4,657.47 is: 6,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.90 : 11,365.06 = 4,657.47 : x
  2. Step 2: Convert to fraction form
    7,575.90/11,365.06 = 4,657.47/x
  3. Step 3: Cross multiply
    7,575.90x = 11,365.06 × 4,657.47
  4. Step 4: Simplify right side
    7,575.90x = 52,932,426.00
  5. Step 5: Solve for x
    x = 52,932,426.00/7,575.90
  6. Step 6: Final answer
    x = 6,986.95

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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.