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Finding the Fourth Proportional to 10,938.24, 15,095.04 and 5,970.24

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Solution

The fourth proportional to 10,938.24, 15,095.04 and 5,970.24 is: 8,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.24 : 15,095.04 = 5,970.24 : x
  2. Step 2: Convert to fraction form
    10,938.24/15,095.04 = 5,970.24/x
  3. Step 3: Cross multiply
    10,938.24x = 15,095.04 × 5,970.24
  4. Step 4: Simplify right side
    10,938.24x = 90,121,011.61
  5. Step 5: Solve for x
    x = 90,121,011.61/10,938.24
  6. Step 6: Final answer
    x = 8,239.08

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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.