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Finding the Fourth Proportional to 10,492.80, 14,478.55 and 6,016.74

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Solution

The fourth proportional to 10,492.80, 14,478.55 and 6,016.74 is: 8,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.80 : 14,478.55 = 6,016.74 : x
  2. Step 2: Convert to fraction form
    10,492.80/14,478.55 = 6,016.74/x
  3. Step 3: Cross multiply
    10,492.80x = 14,478.55 × 6,016.74
  4. Step 4: Simplify right side
    10,492.80x = 87,113,670.93
  5. Step 5: Solve for x
    x = 87,113,670.93/10,492.80
  6. Step 6: Final answer
    x = 8,302.23

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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.