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Finding the Fourth Proportional to 7,060.32, 10,573.20 and 6,840

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Solution

The fourth proportional to 7,060.32, 10,573.20 and 6,840 is: 10,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.32 : 10,573.20 = 6,840 : x
  2. Step 2: Convert to fraction form
    7,060.32/10,573.20 = 6,840/x
  3. Step 3: Cross multiply
    7,060.32x = 10,573.20 × 6,840
  4. Step 4: Simplify right side
    7,060.32x = 72,320,688
  5. Step 5: Solve for x
    x = 72,320,688/7,060.32
  6. Step 6: Final answer
    x = 10,243.26

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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.