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Finding the Fourth Proportional to 6,155.83, 8,492.14 and 4,476.50

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Solution

The fourth proportional to 6,155.83, 8,492.14 and 4,476.50 is: 6,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.83 : 8,492.14 = 4,476.50 : x
  2. Step 2: Convert to fraction form
    6,155.83/8,492.14 = 4,476.50/x
  3. Step 3: Cross multiply
    6,155.83x = 8,492.14 × 4,476.50
  4. Step 4: Simplify right side
    6,155.83x = 38,015,064.71
  5. Step 5: Solve for x
    x = 38,015,064.71/6,155.83
  6. Step 6: Final answer
    x = 6,175.46

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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.