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Finding the Fourth Proportional to 10,980.34, 15,152.52 and 6,504.12

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Solution

The fourth proportional to 10,980.34, 15,152.52 and 6,504.12 is: 8,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.34 : 15,152.52 = 6,504.12 : x
  2. Step 2: Convert to fraction form
    10,980.34/15,152.52 = 6,504.12/x
  3. Step 3: Cross multiply
    10,980.34x = 15,152.52 × 6,504.12
  4. Step 4: Simplify right side
    10,980.34x = 98,553,808.38
  5. Step 5: Solve for x
    x = 98,553,808.38/10,980.34
  6. Step 6: Final answer
    x = 8,975.48

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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.