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Finding the Fourth Proportional to 13,460.88, 18,575 and 7,492.40

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Solution

The fourth proportional to 13,460.88, 18,575 and 7,492.40 is: 10,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.88 : 18,575 = 7,492.40 : x
  2. Step 2: Convert to fraction form
    13,460.88/18,575 = 7,492.40/x
  3. Step 3: Cross multiply
    13,460.88x = 18,575 × 7,492.40
  4. Step 4: Simplify right side
    13,460.88x = 139,171,330
  5. Step 5: Solve for x
    x = 139,171,330/13,460.88
  6. Step 6: Final answer
    x = 10,338.95

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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.