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Finding the Fourth Proportional to 7,657.40, 10,566.92 and 4,254.32

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Solution

The fourth proportional to 7,657.40, 10,566.92 and 4,254.32 is: 5,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.40 : 10,566.92 = 4,254.32 : x
  2. Step 2: Convert to fraction form
    7,657.40/10,566.92 = 4,254.32/x
  3. Step 3: Cross multiply
    7,657.40x = 10,566.92 × 4,254.32
  4. Step 4: Simplify right side
    7,657.40x = 44,955,096.15
  5. Step 5: Solve for x
    x = 44,955,096.15/7,657.40
  6. Step 6: Final answer
    x = 5,870.80

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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.