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Finding the Fourth Proportional to 10,045.56, 13,865.76 and 6,066

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Solution

The fourth proportional to 10,045.56, 13,865.76 and 6,066 is: 8,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.56 : 13,865.76 = 6,066 : x
  2. Step 2: Convert to fraction form
    10,045.56/13,865.76 = 6,066/x
  3. Step 3: Cross multiply
    10,045.56x = 13,865.76 × 6,066
  4. Step 4: Simplify right side
    10,045.56x = 84,109,700.16
  5. Step 5: Solve for x
    x = 84,109,700.16/10,045.56
  6. Step 6: Final answer
    x = 8,372.82

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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.