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Finding the Fourth Proportional to 7,671.60, 11,509.08 and 4,554.45

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Solution

The fourth proportional to 7,671.60, 11,509.08 and 4,554.45 is: 6,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.60 : 11,509.08 = 4,554.45 : x
  2. Step 2: Convert to fraction form
    7,671.60/11,509.08 = 4,554.45/x
  3. Step 3: Cross multiply
    7,671.60x = 11,509.08 × 4,554.45
  4. Step 4: Simplify right side
    7,671.60x = 52,417,529.41
  5. Step 5: Solve for x
    x = 52,417,529.41/7,671.60
  6. Step 6: Final answer
    x = 6,832.67

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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.