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Finding the Fourth Proportional to 8,003.76, 11,045.34 and 4,646.85

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Solution

The fourth proportional to 8,003.76, 11,045.34 and 4,646.85 is: 6,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.76 : 11,045.34 = 4,646.85 : x
  2. Step 2: Convert to fraction form
    8,003.76/11,045.34 = 4,646.85/x
  3. Step 3: Cross multiply
    8,003.76x = 11,045.34 × 4,646.85
  4. Step 4: Simplify right side
    8,003.76x = 51,326,038.18
  5. Step 5: Solve for x
    x = 51,326,038.18/8,003.76
  6. Step 6: Final answer
    x = 6,412.74

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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.