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Finding the Fourth Proportional to 7,869.02, 11,798.06 and 3,484.08

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Solution

The fourth proportional to 7,869.02, 11,798.06 and 3,484.08 is: 5,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.02 : 11,798.06 = 3,484.08 : x
  2. Step 2: Convert to fraction form
    7,869.02/11,798.06 = 3,484.08/x
  3. Step 3: Cross multiply
    7,869.02x = 11,798.06 × 3,484.08
  4. Step 4: Simplify right side
    7,869.02x = 41,105,367.46
  5. Step 5: Solve for x
    x = 41,105,367.46/7,869.02
  6. Step 6: Final answer
    x = 5,223.70

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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.