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Finding the Fourth Proportional to 12,830.68, 17,706.18 and 7,528.60

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Solution

The fourth proportional to 12,830.68, 17,706.18 and 7,528.60 is: 10,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.68 : 17,706.18 = 7,528.60 : x
  2. Step 2: Convert to fraction form
    12,830.68/17,706.18 = 7,528.60/x
  3. Step 3: Cross multiply
    12,830.68x = 17,706.18 × 7,528.60
  4. Step 4: Simplify right side
    12,830.68x = 133,302,746.75
  5. Step 5: Solve for x
    x = 133,302,746.75/12,830.68
  6. Step 6: Final answer
    x = 10,389.38

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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.