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Finding the Fourth Proportional to 10,953.96, 15,115.59 and 6,477.90

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Solution

The fourth proportional to 10,953.96, 15,115.59 and 6,477.90 is: 8,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.96 : 15,115.59 = 6,477.90 : x
  2. Step 2: Convert to fraction form
    10,953.96/15,115.59 = 6,477.90/x
  3. Step 3: Cross multiply
    10,953.96x = 15,115.59 × 6,477.90
  4. Step 4: Simplify right side
    10,953.96x = 97,917,280.46
  5. Step 5: Solve for x
    x = 97,917,280.46/10,953.96
  6. Step 6: Final answer
    x = 8,938.98

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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.