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Finding the Fourth Proportional to 7,776.02, 11,667.47 and 4,077.36

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Solution

The fourth proportional to 7,776.02, 11,667.47 and 4,077.36 is: 6,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.02 : 11,667.47 = 4,077.36 : x
  2. Step 2: Convert to fraction form
    7,776.02/11,667.47 = 4,077.36/x
  3. Step 3: Cross multiply
    7,776.02x = 11,667.47 × 4,077.36
  4. Step 4: Simplify right side
    7,776.02x = 47,572,475.48
  5. Step 5: Solve for x
    x = 47,572,475.48/7,776.02
  6. Step 6: Final answer
    x = 6,117.84

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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.