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Finding the Fourth Proportional to 10,294.08, 15,430.13 and 7,363.50

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Solution

The fourth proportional to 10,294.08, 15,430.13 and 7,363.50 is: 11,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.08 : 15,430.13 = 7,363.50 : x
  2. Step 2: Convert to fraction form
    10,294.08/15,430.13 = 7,363.50/x
  3. Step 3: Cross multiply
    10,294.08x = 15,430.13 × 7,363.50
  4. Step 4: Simplify right side
    10,294.08x = 113,619,762.26
  5. Step 5: Solve for x
    x = 113,619,762.26/10,294.08
  6. Step 6: Final answer
    x = 11,037.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.