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Finding the Fourth Proportional to 10,070.54, 15,106.11 and 4,806.11

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Solution

The fourth proportional to 10,070.54, 15,106.11 and 4,806.11 is: 7,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.54 : 15,106.11 = 4,806.11 : x
  2. Step 2: Convert to fraction form
    10,070.54/15,106.11 = 4,806.11/x
  3. Step 3: Cross multiply
    10,070.54x = 15,106.11 × 4,806.11
  4. Step 4: Simplify right side
    10,070.54x = 72,601,640.76
  5. Step 5: Solve for x
    x = 72,601,640.76/10,070.54
  6. Step 6: Final answer
    x = 7,209.31

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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.