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Finding the Fourth Proportional to 7,699.35, 11,530.80 and 4,746.90

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Solution

The fourth proportional to 7,699.35, 11,530.80 and 4,746.90 is: 7,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.35 : 11,530.80 = 4,746.90 : x
  2. Step 2: Convert to fraction form
    7,699.35/11,530.80 = 4,746.90/x
  3. Step 3: Cross multiply
    7,699.35x = 11,530.80 × 4,746.90
  4. Step 4: Simplify right side
    7,699.35x = 54,735,554.52
  5. Step 5: Solve for x
    x = 54,735,554.52/7,699.35
  6. Step 6: Final answer
    x = 7,109.11

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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.