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Finding the Fourth Proportional to 7,386, 11,068.06 and 6,079.04

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Solution

The fourth proportional to 7,386, 11,068.06 and 6,079.04 is: 9,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386 : 11,068.06 = 6,079.04 : x
  2. Step 2: Convert to fraction form
    7,386/11,068.06 = 6,079.04/x
  3. Step 3: Cross multiply
    7,386x = 11,068.06 × 6,079.04
  4. Step 4: Simplify right side
    7,386x = 67,283,179.46
  5. Step 5: Solve for x
    x = 67,283,179.46/7,386
  6. Step 6: Final answer
    x = 9,109.56

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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.