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Finding the Fourth Proportional to 7,904.14, 11,784.17 and 7,702.18

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Solution

The fourth proportional to 7,904.14, 11,784.17 and 7,702.18 is: 11,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.14 : 11,784.17 = 7,702.18 : x
  2. Step 2: Convert to fraction form
    7,904.14/11,784.17 = 7,702.18/x
  3. Step 3: Cross multiply
    7,904.14x = 11,784.17 × 7,702.18
  4. Step 4: Simplify right side
    7,904.14x = 90,763,798.49
  5. Step 5: Solve for x
    x = 90,763,798.49/7,904.14
  6. Step 6: Final answer
    x = 11,483.07

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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.