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Finding the Fourth Proportional to 7,595.92, 10,480 and 4,410.08

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Solution

The fourth proportional to 7,595.92, 10,480 and 4,410.08 is: 6,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,595.92 : 10,480 = 4,410.08 : x
  2. Step 2: Convert to fraction form
    7,595.92/10,480 = 4,410.08/x
  3. Step 3: Cross multiply
    7,595.92x = 10,480 × 4,410.08
  4. Step 4: Simplify right side
    7,595.92x = 46,217,638.40
  5. Step 5: Solve for x
    x = 46,217,638.40/7,595.92
  6. Step 6: Final answer
    x = 6,084.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.