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Finding the Fourth Proportional to 10,611.46, 15,925.47 and 7,347.43

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Solution

The fourth proportional to 10,611.46, 15,925.47 and 7,347.43 is: 11,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.46 : 15,925.47 = 7,347.43 : x
  2. Step 2: Convert to fraction form
    10,611.46/15,925.47 = 7,347.43/x
  3. Step 3: Cross multiply
    10,611.46x = 15,925.47 × 7,347.43
  4. Step 4: Simplify right side
    10,611.46x = 117,011,276.04
  5. Step 5: Solve for x
    x = 117,011,276.04/10,611.46
  6. Step 6: Final answer
    x = 11,026.88

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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.