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Finding the Fourth Proportional to 5,156.10, 7,767 and 4,707.77

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Solution

The fourth proportional to 5,156.10, 7,767 and 4,707.77 is: 7,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.10 : 7,767 = 4,707.77 : x
  2. Step 2: Convert to fraction form
    5,156.10/7,767 = 4,707.77/x
  3. Step 3: Cross multiply
    5,156.10x = 7,767 × 4,707.77
  4. Step 4: Simplify right side
    5,156.10x = 36,565,210.76
  5. Step 5: Solve for x
    x = 36,565,210.76/5,156.10
  6. Step 6: Final answer
    x = 7,091.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.