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Finding the Fourth Proportional to 10,980.63, 15,152.13 and 6,264

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Solution

The fourth proportional to 10,980.63, 15,152.13 and 6,264 is: 8,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.63 : 15,152.13 = 6,264 : x
  2. Step 2: Convert to fraction form
    10,980.63/15,152.13 = 6,264/x
  3. Step 3: Cross multiply
    10,980.63x = 15,152.13 × 6,264
  4. Step 4: Simplify right side
    10,980.63x = 94,912,942.32
  5. Step 5: Solve for x
    x = 94,912,942.32/10,980.63
  6. Step 6: Final answer
    x = 8,643.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.