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Finding the Fourth Proportional to 10,706.64, 16,030.98 and 7,573.74

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Solution

The fourth proportional to 10,706.64, 16,030.98 and 7,573.74 is: 11,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.64 : 16,030.98 = 7,573.74 : x
  2. Step 2: Convert to fraction form
    10,706.64/16,030.98 = 7,573.74/x
  3. Step 3: Cross multiply
    10,706.64x = 16,030.98 × 7,573.74
  4. Step 4: Simplify right side
    10,706.64x = 121,414,474.47
  5. Step 5: Solve for x
    x = 121,414,474.47/10,706.64
  6. Step 6: Final answer
    x = 11,340.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.