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Finding the Fourth Proportional to 10,894.94, 15,047.28 and 7,352

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Solution

The fourth proportional to 10,894.94, 15,047.28 and 7,352 is: 10,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.94 : 15,047.28 = 7,352 : x
  2. Step 2: Convert to fraction form
    10,894.94/15,047.28 = 7,352/x
  3. Step 3: Cross multiply
    10,894.94x = 15,047.28 × 7,352
  4. Step 4: Simplify right side
    10,894.94x = 110,627,602.56
  5. Step 5: Solve for x
    x = 110,627,602.56/10,894.94
  6. Step 6: Final answer
    x = 10,154.04

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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.