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Finding the Fourth Proportional to 10,573.40, 15,838.57 and 5,009.88

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Solution

The fourth proportional to 10,573.40, 15,838.57 and 5,009.88 is: 7,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.40 : 15,838.57 = 5,009.88 : x
  2. Step 2: Convert to fraction form
    10,573.40/15,838.57 = 5,009.88/x
  3. Step 3: Cross multiply
    10,573.40x = 15,838.57 × 5,009.88
  4. Step 4: Simplify right side
    10,573.40x = 79,349,335.07
  5. Step 5: Solve for x
    x = 79,349,335.07/10,573.40
  6. Step 6: Final answer
    x = 7,504.62

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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.