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Finding the Fourth Proportional to 8,538.93, 11,783.52 and 4,762.46

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Solution

The fourth proportional to 8,538.93, 11,783.52 and 4,762.46 is: 6,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.93 : 11,783.52 = 4,762.46 : x
  2. Step 2: Convert to fraction form
    8,538.93/11,783.52 = 4,762.46/x
  3. Step 3: Cross multiply
    8,538.93x = 11,783.52 × 4,762.46
  4. Step 4: Simplify right side
    8,538.93x = 56,118,483.74
  5. Step 5: Solve for x
    x = 56,118,483.74/8,538.93
  6. Step 6: Final answer
    x = 6,572.07

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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.