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Finding the Fourth Proportional to 7,671.07, 11,509.34 and 4,386.93

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Solution

The fourth proportional to 7,671.07, 11,509.34 and 4,386.93 is: 6,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.07 : 11,509.34 = 4,386.93 : x
  2. Step 2: Convert to fraction form
    7,671.07/11,509.34 = 4,386.93/x
  3. Step 3: Cross multiply
    7,671.07x = 11,509.34 × 4,386.93
  4. Step 4: Simplify right side
    7,671.07x = 50,490,668.93
  5. Step 5: Solve for x
    x = 50,490,668.93/7,671.07
  6. Step 6: Final answer
    x = 6,581.96

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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.