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Finding the Fourth Proportional to 10,292.46, 15,445.06 and 4,746.59

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Solution

The fourth proportional to 10,292.46, 15,445.06 and 4,746.59 is: 7,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.46 : 15,445.06 = 4,746.59 : x
  2. Step 2: Convert to fraction form
    10,292.46/15,445.06 = 4,746.59/x
  3. Step 3: Cross multiply
    10,292.46x = 15,445.06 × 4,746.59
  4. Step 4: Simplify right side
    10,292.46x = 73,311,367.35
  5. Step 5: Solve for x
    x = 73,311,367.35/10,292.46
  6. Step 6: Final answer
    x = 7,122.82

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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.