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Finding the Fourth Proportional to 10,570.94, 14,587.75 and 6,094.70

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Solution

The fourth proportional to 10,570.94, 14,587.75 and 6,094.70 is: 8,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.94 : 14,587.75 = 6,094.70 : x
  2. Step 2: Convert to fraction form
    10,570.94/14,587.75 = 6,094.70/x
  3. Step 3: Cross multiply
    10,570.94x = 14,587.75 × 6,094.70
  4. Step 4: Simplify right side
    10,570.94x = 88,907,959.93
  5. Step 5: Solve for x
    x = 88,907,959.93/10,570.94
  6. Step 6: Final answer
    x = 8,410.60

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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.