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Finding the Fourth Proportional to 7,848.84, 11,777.58 and 4,773

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Solution

The fourth proportional to 7,848.84, 11,777.58 and 4,773 is: 7,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.84 : 11,777.58 = 4,773 : x
  2. Step 2: Convert to fraction form
    7,848.84/11,777.58 = 4,773/x
  3. Step 3: Cross multiply
    7,848.84x = 11,777.58 × 4,773
  4. Step 4: Simplify right side
    7,848.84x = 56,214,389.34
  5. Step 5: Solve for x
    x = 56,214,389.34/7,848.84
  6. Step 6: Final answer
    x = 7,162.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.