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Finding the Fourth Proportional to 10,954.84, 15,117.30 and 6,477.64

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Solution

The fourth proportional to 10,954.84, 15,117.30 and 6,477.64 is: 8,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.84 : 15,117.30 = 6,477.64 : x
  2. Step 2: Convert to fraction form
    10,954.84/15,117.30 = 6,477.64/x
  3. Step 3: Cross multiply
    10,954.84x = 15,117.30 × 6,477.64
  4. Step 4: Simplify right side
    10,954.84x = 97,924,427.17
  5. Step 5: Solve for x
    x = 97,924,427.17/10,954.84
  6. Step 6: Final answer
    x = 8,938.92

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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.