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Finding the Fourth Proportional to 7,758.27, 10,707.51 and 4,355.64

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Solution

The fourth proportional to 7,758.27, 10,707.51 and 4,355.64 is: 6,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.27 : 10,707.51 = 4,355.64 : x
  2. Step 2: Convert to fraction form
    7,758.27/10,707.51 = 4,355.64/x
  3. Step 3: Cross multiply
    7,758.27x = 10,707.51 × 4,355.64
  4. Step 4: Simplify right side
    7,758.27x = 46,638,005.32
  5. Step 5: Solve for x
    x = 46,638,005.32/7,758.27
  6. Step 6: Final answer
    x = 6,011.40

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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.