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Finding the Fourth Proportional to 8,070.40, 12,036.58 and 7,089.68

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Solution

The fourth proportional to 8,070.40, 12,036.58 and 7,089.68 is: 10,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.40 : 12,036.58 = 7,089.68 : x
  2. Step 2: Convert to fraction form
    8,070.40/12,036.58 = 7,089.68/x
  3. Step 3: Cross multiply
    8,070.40x = 12,036.58 × 7,089.68
  4. Step 4: Simplify right side
    8,070.40x = 85,335,500.49
  5. Step 5: Solve for x
    x = 85,335,500.49/8,070.40
  6. Step 6: Final answer
    x = 10,573.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.