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Finding the Fourth Proportional to 10,938.62, 15,097.50 and 9,048.24

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Solution

The fourth proportional to 10,938.62, 15,097.50 and 9,048.24 is: 12,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.62 : 15,097.50 = 9,048.24 : x
  2. Step 2: Convert to fraction form
    10,938.62/15,097.50 = 9,048.24/x
  3. Step 3: Cross multiply
    10,938.62x = 15,097.50 × 9,048.24
  4. Step 4: Simplify right side
    10,938.62x = 136,605,803.40
  5. Step 5: Solve for x
    x = 136,605,803.40/10,938.62
  6. Step 6: Final answer
    x = 12,488.39

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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.