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Finding the Fourth Proportional to 7,762.32, 10,712.25 and 4,575.96

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Solution

The fourth proportional to 7,762.32, 10,712.25 and 4,575.96 is: 6,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.32 : 10,712.25 = 4,575.96 : x
  2. Step 2: Convert to fraction form
    7,762.32/10,712.25 = 4,575.96/x
  3. Step 3: Cross multiply
    7,762.32x = 10,712.25 × 4,575.96
  4. Step 4: Simplify right side
    7,762.32x = 49,018,827.51
  5. Step 5: Solve for x
    x = 49,018,827.51/7,762.32
  6. Step 6: Final answer
    x = 6,314.97

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