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Finding the Fourth Proportional to 10,570.44, 14,587.06 and 6,094.20

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Solution

The fourth proportional to 10,570.44, 14,587.06 and 6,094.20 is: 8,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.44 : 14,587.06 = 6,094.20 : x
  2. Step 2: Convert to fraction form
    10,570.44/14,587.06 = 6,094.20/x
  3. Step 3: Cross multiply
    10,570.44x = 14,587.06 × 6,094.20
  4. Step 4: Simplify right side
    10,570.44x = 88,896,461.05
  5. Step 5: Solve for x
    x = 88,896,461.05/10,570.44
  6. Step 6: Final answer
    x = 8,409.91

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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.